Finding the Fourth Proportional to 111.14, 166.70 and 106.55

Step by Step Solution

1. Step 1: Write the proportion equation
   111.14 : 166.70 = 106.55 : x
2. Step 2: Convert to fraction form
   111.14/166.70 = 106.55/x
3. Step 3: Cross multiply
   111.14x = 166.70 × 106.55
4. Step 4: Simplify right side
   111.14x = 17,761.89
5. Step 5: Solve for x
   x = 17,761.89/111.14
6. Step 6: Final answer
   x = 159.82