Finding the Fourth Proportional to 137.42, 189.59 and 82.15

Step by Step Solution

1. Step 1: Write the proportion equation
   137.42 : 189.59 = 82.15 : x
2. Step 2: Convert to fraction form
   137.42/189.59 = 82.15/x
3. Step 3: Cross multiply
   137.42x = 189.59 × 82.15
4. Step 4: Simplify right side
   137.42x = 15,574.82
5. Step 5: Solve for x
   x = 15,574.82/137.42
6. Step 6: Final answer
   x = 113.34