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Finding the Fourth Proportional to 83.42, 125.04 and 65.27

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Solution

The fourth proportional to 83.42, 125.04 and 65.27 is: 97.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.42 : 125.04 = 65.27 : x
  2. Step 2: Convert to fraction form
    83.42/125.04 = 65.27/x
  3. Step 3: Cross multiply
    83.42x = 125.04 × 65.27
  4. Step 4: Simplify right side
    83.42x = 8,160.49
  5. Step 5: Solve for x
    x = 8,160.49/83.42
  6. Step 6: Final answer
    x = 97.83

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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.