Here's what rhymes with imperturable.
rubble double trouble bubble publ playable stubble friable imperturbable dirigible redouble attachable vocable unplayable flyable beatable tamable addable imperishable damnable indissoluble acquirable conformable uncharitable unbridgeable nonviable filtrable unnameable containable unlikable vincible dividable unloveable translatable indemonstrable unarguable ignitable compoundable exploitable untranslatable transmutable Words that almost rhyme with imperturable
rappel couple subtle shuttle muddle puddle suppl supple huddle tuple cuddle cudgel fuddle rebuttal scuttle decouple befuddle uncouple thermocouple oversubtle rumble rustle ruffle runnel muscle humble tunnel puzzle bustle funnel muzzle shovel tumble buckle chuckle crumble jumble shuffle tional grumble hovel hustle knuckle muffle mussel subtile fumble juggle mumble phrasal suckle tussle bumble caecal truffle guzzle nuzzle pummel truckle duckbill gunnel lungful rumple tamale tousle gumball tubful struggle bundle frontal jungle fungal autumnal crustal ductile stumble ductal lustful scuffle smuggle pustule crumple reshuffle snaffle snuggle trundle bungle snuffle jugful tumbrel mugful pinocle triumphal colourful nuptial subcortical bestowal peduncle suboptimal trustful duodecimal unbuckle kerfuffle cupsful prefrontal conformal carbuncle prenuptial nonvocal disgruntle antifungal distrustful honeysuckle mistrustful granduncle heptagonal