1. **State the problem:** We have a model car that is 3 inches wide and 2 inches tall. The actual car is 4 feet wide. We need to find the height of the actual car. 2. **Set up the proportion:** Since the model and the actual car are similar, their dimensions are proportional. The width ratio is model width to actual width, and the height ratio is model height to actual height. 3. **Convert units:** Convert 4 feet to inches because the model dimensions are in inches. Since 1 foot = 12 inches, $$4 \text{ ft} = 4 \times 12 = 48 \text{ in}$$. 4. **Write the proportion:** $$\frac{\text{model width}}{\text{actual width}} = \frac{\text{model height}}{\text{actual height}}$$ Substitute known values: $$\frac{3}{48} = \frac{2}{h}$$ where $h$ is the actual height in inches. 5. **Solve for $h$:** Cross multiply: $$3 \times h = 48 \times 2$$ $$3h = 96$$ Divide both sides by 3: $$\cancel{3}h = \frac{96}{\cancel{3}}$$ $$h = 32$$ inches. 6. **Convert height back to feet:** $$32 \text{ in} = \frac{32}{12} = 2\frac{8}{12} = 2\frac{2}{3} \text{ ft}$$ **Final answer:** The actual car would be $2\frac{2}{3}$ feet tall.