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Finding the Fourth Proportional to 57.92, 86.50 and 51.80

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Solution

The fourth proportional to 57.92, 86.50 and 51.80 is: 77.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.92 : 86.50 = 51.80 : x
  2. Step 2: Convert to fraction form
    57.92/86.50 = 51.80/x
  3. Step 3: Cross multiply
    57.92x = 86.50 × 51.80
  4. Step 4: Simplify right side
    57.92x = 4,480.70
  5. Step 5: Solve for x
    x = 4,480.70/57.92
  6. Step 6: Final answer
    x = 77.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.