Finding the Fourth Proportional to 111.51, 166.14 and 106.83

Step by Step Solution

1. Step 1: Write the proportion equation
   111.51 : 166.14 = 106.83 : x
2. Step 2: Convert to fraction form
   111.51/166.14 = 106.83/x
3. Step 3: Cross multiply
   111.51x = 166.14 × 106.83
4. Step 4: Simplify right side
   111.51x = 17,748.74
5. Step 5: Solve for x
   x = 17,748.74/111.51
6. Step 6: Final answer
   x = 159.17