Finding the Fourth Proportional to 82.50, 123.82 and 34.42

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 123.82 = 34.42 : x
2. Step 2: Convert to fraction form
   82.50/123.82 = 34.42/x
3. Step 3: Cross multiply
   82.50x = 123.82 × 34.42
4. Step 4: Simplify right side
   82.50x = 4,261.88
5. Step 5: Solve for x
   x = 4,261.88/82.50
6. Step 6: Final answer
   x = 51.66