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Finding the Fourth Proportional to 83.62, 124.75 and 82.54

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Solution

The fourth proportional to 83.62, 124.75 and 82.54 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.62 : 124.75 = 82.54 : x
  2. Step 2: Convert to fraction form
    83.62/124.75 = 82.54/x
  3. Step 3: Cross multiply
    83.62x = 124.75 × 82.54
  4. Step 4: Simplify right side
    83.62x = 10,296.87
  5. Step 5: Solve for x
    x = 10,296.87/83.62
  6. Step 6: Final answer
    x = 123.14

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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.