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