1. **State the problem:** We are given the circumference $C$ of a circle as 119.32 inches and need to find the diameter $d$ of the circle, rounded to the nearest hundredth. 2. **Formula used:** The circumference of a circle is related to its diameter by the formula: $$C = \pi d$$ where $\pi \approx 3.14159$. 3. **Solve for diameter:** Rearranging the formula to find $d$: $$d = \frac{C}{\pi}$$ 4. **Substitute the given circumference:** $$d = \frac{119.32}{\pi}$$ 5. **Calculate the value:** $$d = \frac{119.32}{3.14159}$$ 6. **Intermediate step showing cancellation:** $$d = \frac{\cancel{119.32}}{\cancel{3.14159}}$$ (just indicating division, no common factors to cancel numerically) 7. **Perform the division:** $$d \approx 37.99$$ 8. **Final answer:** The diameter of the circle is approximately **37.99 inches** when rounded to the nearest hundredth.