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Finding the Fourth Proportional to 83.08, 123.70 and 82.68

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Solution

The fourth proportional to 83.08, 123.70 and 82.68 is: 123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.08 : 123.70 = 82.68 : x
  2. Step 2: Convert to fraction form
    83.08/123.70 = 82.68/x
  3. Step 3: Cross multiply
    83.08x = 123.70 × 82.68
  4. Step 4: Simplify right side
    83.08x = 10,227.52
  5. Step 5: Solve for x
    x = 10,227.52/83.08
  6. Step 6: Final answer
    x = 123.10

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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.