Finding the Fourth Proportional to 111.29, 166.55 and 100.06

Step by Step Solution

1. Step 1: Write the proportion equation
   111.29 : 166.55 = 100.06 : x
2. Step 2: Convert to fraction form
   111.29/166.55 = 100.06/x
3. Step 3: Cross multiply
   111.29x = 166.55 × 100.06
4. Step 4: Simplify right side
   111.29x = 16,664.08
5. Step 5: Solve for x
   x = 16,664.08/111.29
6. Step 6: Final answer
   x = 149.74