Finding the Fourth Proportional to 101.69, 152.53 and 37.56

Step by Step Solution

1. Step 1: Write the proportion equation
   101.69 : 152.53 = 37.56 : x
2. Step 2: Convert to fraction form
   101.69/152.53 = 37.56/x
3. Step 3: Cross multiply
   101.69x = 152.53 × 37.56
4. Step 4: Simplify right side
   101.69x = 5,729.50
5. Step 5: Solve for x
   x = 5,729.50/101.69
6. Step 6: Final answer
   x = 56.34