Here's what rhymes with enteric.
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angelic relic allelic evangelic psychedelic endemic poetic energetic metric pelvic peptic technic benthic eutectic medic fetich pectic aesthetic genetic epidemic acetic majestic pathetic ascetic esthetic septic centric hectic polemic splenic emetic empathetic eugenic pandemic phrenic sceptic totemic acerbic irenic paregoric redbrick bathetic domestic academic electric magnetic sympathetic authentic kinetic prophetic synthetic systemic athletic diabetic dielectric geometric symmetric antigenic forensic ischemic phonetic apathetic aseptic diuretic obstetric biogenic neurogenic pyogenic skeptic anorexic dietetic geodesic geodetic hermetic allergenic anorectic antithetic leukaemic lovesick diametric gametic parenthetic telegenic phrenetic arithmetic anesthetic dialectic eccentric antiseptic asymmetric concentric cosmetic eclectic epileptic epistemic parametric pathogenic alphabetic anaesthetic isometric prosthetic transgenic barometric cryogenic cybernetic ethnocentric frenetic kinesthetic mutagenic photometric psychogenic teratogenic androgenic dyslexic dyspeptic geocentric inauthentic homiletic paramedic paraplegic photogenic splenetic thermometric unaesthetic unauthentic exegetic copacetic dyslectic apologetic schizophrenic econometric psychometric unsympathetic egocentric iatrogenic neuroleptic ontogenetic apoplectic neurasthenic nonacademic peripatetic radiometric antipathetic cataleptic polytechnic pyrotechnic hypoallergenic nonathletic nonelectric unesthetic cliometric volumetric carcinogenic photoelectric photosynthetic phylogenetic anthropogenic antidiuretic biosynthetic colorimetric ferromagnetic geomagnetic isoelectric nonparametric nonmagnetic unapologetic calisthenic narcoleptic telekinetic callisthenic hydroelectric parasympathetic paramagnetic piezoelectric stoichiometric trigonometric anthropocentric hallucinogenic heliocentric onomatopoetic psychokinetic electromagnetic pharmacokinetic