Finding the Fourth Proportional to 137.25, 205.83 and 50.55

Step by Step Solution

1. Step 1: Write the proportion equation
   137.25 : 205.83 = 50.55 : x
2. Step 2: Convert to fraction form
   137.25/205.83 = 50.55/x
3. Step 3: Cross multiply
   137.25x = 205.83 × 50.55
4. Step 4: Simplify right side
   137.25x = 10,404.71
5. Step 5: Solve for x
   x = 10,404.71/137.25
6. Step 6: Final answer
   x = 75.81