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Finding the Fourth Proportional to 83.71, 115.53 and 54.59

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Solution

The fourth proportional to 83.71, 115.53 and 54.59 is: 75.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.71 : 115.53 = 54.59 : x
  2. Step 2: Convert to fraction form
    83.71/115.53 = 54.59/x
  3. Step 3: Cross multiply
    83.71x = 115.53 × 54.59
  4. Step 4: Simplify right side
    83.71x = 6,306.78
  5. Step 5: Solve for x
    x = 6,306.78/83.71
  6. Step 6: Final answer
    x = 75.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.