Finding the Fourth Proportional to 152.96, 229.50 and 71.82

Step by Step Solution

1. Step 1: Write the proportion equation
   152.96 : 229.50 = 71.82 : x
2. Step 2: Convert to fraction form
   152.96/229.50 = 71.82/x
3. Step 3: Cross multiply
   152.96x = 229.50 × 71.82
4. Step 4: Simplify right side
   152.96x = 16,482.69
5. Step 5: Solve for x
   x = 16,482.69/152.96
6. Step 6: Final answer
   x = 107.76