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Finding the Fourth Proportional to 72.57, 108.80 and 40.53

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Solution

The fourth proportional to 72.57, 108.80 and 40.53 is: 60.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.57 : 108.80 = 40.53 : x
  2. Step 2: Convert to fraction form
    72.57/108.80 = 40.53/x
  3. Step 3: Cross multiply
    72.57x = 108.80 × 40.53
  4. Step 4: Simplify right side
    72.57x = 4,409.22
  5. Step 5: Solve for x
    x = 4,409.22/72.57
  6. Step 6: Final answer
    x = 60.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.