Deteriorating rhymes with:
accelerating, collaborating, commemorating, cooperating, corroborating, decelerating, decorating, degenerating, deliberating, elaborating, evaporating, exaggerating, exasperating, exhilarating, exonerating, generating, inaugurating, incarcerating, incinerating, incorporating, invigorating, liberating, moderating, nonoperating, obliterating, operating, perforating, proliferating, recuperating, redecorating, regenerating, reincorporating, reinvigorating, reiterating, reverberating, saturating, separating, tolerating, venerating
Deteriorating sounds like:
darden's, darting, deriding, deterding, drawdowns, drayton's, dreading, durations