Finding the Fourth Proportional to 105.50, 158.20 and 37.00

Step by Step Solution

1. Step 1: Write the proportion equation
   105.50 : 158.20 = 37.00 : x
2. Step 2: Convert to fraction form
   105.50/158.20 = 37.00/x
3. Step 3: Cross multiply
   105.50x = 158.20 × 37.00
4. Step 4: Simplify right side
   105.50x = 5,853.51
5. Step 5: Solve for x
   x = 5,853.51/105.50
6. Step 6: Final answer
   x = 55.48