Finding the Fourth Proportional to 111.48, 166.16 and 105.42

Step by Step Solution

1. Step 1: Write the proportion equation
   111.48 : 166.16 = 105.42 : x
2. Step 2: Convert to fraction form
   111.48/166.16 = 105.42/x
3. Step 3: Cross multiply
   111.48x = 166.16 × 105.42
4. Step 4: Simplify right side
   111.48x = 17,516.59
5. Step 5: Solve for x
   x = 17,516.59/111.48
6. Step 6: Final answer
   x = 157.13