Finding the Fourth Proportional to 111.29, 166.62 and 67.82

Step by Step Solution

1. Step 1: Write the proportion equation
   111.29 : 166.62 = 67.82 : x
2. Step 2: Convert to fraction form
   111.29/166.62 = 67.82/x
3. Step 3: Cross multiply
   111.29x = 166.62 × 67.82
4. Step 4: Simplify right side
   111.29x = 11,300.17
5. Step 5: Solve for x
   x = 11,300.17/111.29
6. Step 6: Final answer
   x = 101.54