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Finding the Fourth Proportional to 57.80, 87.02 and 52.76

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Solution

The fourth proportional to 57.80, 87.02 and 52.76 is: 79.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.80 : 87.02 = 52.76 : x
  2. Step 2: Convert to fraction form
    57.80/87.02 = 52.76/x
  3. Step 3: Cross multiply
    57.80x = 87.02 × 52.76
  4. Step 4: Simplify right side
    57.80x = 4,591.18
  5. Step 5: Solve for x
    x = 4,591.18/57.80
  6. Step 6: Final answer
    x = 79.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.