Here's what rhymes with homostatic.
static hepatic asthmatic thermostatic somatic thematic ecstatic erratic metastatic fanatic operatic homeostatic spermatic photostatic dramatic automatic dogmatic emphatic schematic traumatic autocratic pneumatic prostatic rheumatic aliphatic cinematic magmatic orthostatic astigmatic stigmatic aerobatic democratic systematic aristocratic aromatic climatic pragmatic enigmatic enzymatic hydrostatic lymphatic chromatic kinematic prismatic idiomatic intrahepatic muriatic phlegmatic theocratic zygomatic acrobatic schismatic numismatic undramatic nondramatic unemphatic homoeostatic diplomatic bureaucratic pancreatic symptomatic charismatic axiomatic emblematic psychosomatic achromatic technocratic unsystematic semiautomatic problematic asymptomatic melodramatic monochromatic programmatic diagrammatic diaphragmatic posttraumatic undemocratic antidemocratic epigrammatic meritocratic nondemocratic panchromatic plutocratic undiplomatic electrostatic paradigmatic unproblematic unidiomatic idiosyncratic Words that almost rhyme with homostatic
magic tragic sporadic pelagic syllabic apparatchik priapic nomadic disyllabic monosyllabic polysyllabic panic tactic spastic tannic traffic plastic metallic ceramic drastic frantic lactic manic synaptic phallic italic satanic mastic tyrannic dynamic classic elastic fabric fantastic gastric gigantic graphic semantic monastic thoracic barbaric catholic didactic dynastic mechanic oceanic stochastic cephalic messianic nostalgic ophthalmic pedantic thalamic aplastic clastic titanic bombastic isobaric slapstick ataxic botanic malefic phonographic baldric organic romantic psychiatric photographic scholastic volcanic hemorrhagic inelastic neoplastic pediatric sarcastic galactic galvanic geriatric glutamic panoramic presynaptic tympanic anaphylactic gymnastic haemorrhagic heraldic psychopathic splanchnic thermoplastic bimetallic nonmetallic orgiastic paediatric periphrastic sycophantic matchstick nonelastic demographic enthusiastic geographic inorganic ethnographic thermodynamic climactic pornographic postsynaptic holographic hyperplastic hypoplastic tomographic oceanographic stenographic unromantic biographic neoclassic osteopathic cytoplasmic hypothalamic prophylactic aerodynamic ecclesiastic endoplasmic hemodynamic psychodynamic telegraphic topographic cartographic iconoclastic intrathoracic lithographic orthographic viscoelastic chiropractic typographic calligraphic choreographic intergalactic interscholastic xerographic seismographic radiographic chromatographic hydrodynamic stratigraphic transatlantic angiographic iconographic unenthusiastic autobiographic transoceanic overenthusiastic bibliographic protoplasmic cinematographic anticlimactic crystallographic lexicographic electrocardiographic electroencephalographic