Finding the Fourth Proportional to 111.43, 166.23 and 106.27

Step by Step Solution

1. Step 1: Write the proportion equation
   111.43 : 166.23 = 106.27 : x
2. Step 2: Convert to fraction form
   111.43/166.23 = 106.27/x
3. Step 3: Cross multiply
   111.43x = 166.23 × 106.27
4. Step 4: Simplify right side
   111.43x = 17,665.05
5. Step 5: Solve for x
   x = 17,665.05/111.43
6. Step 6: Final answer
   x = 158.53