Finding the Fourth Proportional to 106.33, 146.71 and 71.42

Step by Step Solution

1. Step 1: Write the proportion equation
   106.33 : 146.71 = 71.42 : x
2. Step 2: Convert to fraction form
   106.33/146.71 = 71.42/x
3. Step 3: Cross multiply
   106.33x = 146.71 × 71.42
4. Step 4: Simplify right side
   106.33x = 10,478.22
5. Step 5: Solve for x
   x = 10,478.22/106.33
6. Step 6: Final answer
   x = 98.54