Finding the Fourth Proportional to 106.42, 146.82 and 81.82

Step by Step Solution

1. Step 1: Write the proportion equation
   106.42 : 146.82 = 81.82 : x
2. Step 2: Convert to fraction form
   106.42/146.82 = 81.82/x
3. Step 3: Cross multiply
   106.42x = 146.82 × 81.82
4. Step 4: Simplify right side
   106.42x = 12,012.81
5. Step 5: Solve for x
   x = 12,012.81/106.42
6. Step 6: Final answer
   x = 112.88