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Finding the Fourth Proportional to 57.38, 85.57 and 52.97

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Solution

The fourth proportional to 57.38, 85.57 and 52.97 is: 78.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.38 : 85.57 = 52.97 : x
  2. Step 2: Convert to fraction form
    57.38/85.57 = 52.97/x
  3. Step 3: Cross multiply
    57.38x = 85.57 × 52.97
  4. Step 4: Simplify right side
    57.38x = 4,532.64
  5. Step 5: Solve for x
    x = 4,532.64/57.38
  6. Step 6: Final answer
    x = 78.99

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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.