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Finding the Fourth Proportional to 57.70, 86.14 and 52.10

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Solution

The fourth proportional to 57.70, 86.14 and 52.10 is: 77.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.70 : 86.14 = 52.10 : x
  2. Step 2: Convert to fraction form
    57.70/86.14 = 52.10/x
  3. Step 3: Cross multiply
    57.70x = 86.14 × 52.10
  4. Step 4: Simplify right side
    57.70x = 4,487.89
  5. Step 5: Solve for x
    x = 4,487.89/57.70
  6. Step 6: Final answer
    x = 77.78

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Why These Related Problems?

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