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Finding the Fourth Proportional to 53.71, 80.42 and 52.57

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Solution

The fourth proportional to 53.71, 80.42 and 52.57 is: 78.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.71 : 80.42 = 52.57 : x
  2. Step 2: Convert to fraction form
    53.71/80.42 = 52.57/x
  3. Step 3: Cross multiply
    53.71x = 80.42 × 52.57
  4. Step 4: Simplify right side
    53.71x = 4,227.68
  5. Step 5: Solve for x
    x = 4,227.68/53.71
  6. Step 6: Final answer
    x = 78.71

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Why These Related Problems?

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