Ineptitude rhymes with:
fortitude, platitude, rectitude, fortitude, platitude, rectitude, solicitude, turpitude, altitude, amplitude, aptitude, attitude, certitude, d'etude, exactitude, fortitude, gratitude, latitude, longitude, magnitude, multitude, platitude, rectitude, servitude, solicitude, solitude, turpitude, verisimilitude
Ineptitude sounds like:
imbed, imbedded, imbibed, imbued, impede, impeded, impute, imputed, inbody, inept, infatuate, infatuated, inhabit, inhabited, inhibit, inhibited, innovate, innovated, input, invade, invaded, invite, invited, invitee