Both stinking and fetid suggest the foul or disgusting.

// prisoners were held in stinking cells

// the fetid odor of skunk cabbage

Some common synonyms of rank are fetid, fusty, malodorous, musty, noisome, putrid, and stinking. While all these words mean "bad-smelling," rank suggests a strong unpleasant smell.

// rank cigar smoke

Although the words putrid and rank have much in common, putrid implies particularly the sickening odor of decaying organic matter.

// the putrid smell of rotting fish