Finding the Fourth Proportional to 111.75, 167.29 and 100.02

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 167.29 = 100.02 : x
2. Step 2: Convert to fraction form
   111.75/167.29 = 100.02/x
3. Step 3: Cross multiply
   111.75x = 167.29 × 100.02
4. Step 4: Simplify right side
   111.75x = 16,732.06
5. Step 5: Solve for x
   x = 16,732.06/111.75
6. Step 6: Final answer
   x = 149.73