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Finding the Fourth Proportional to 139.38, 209.07 and 82.74

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Solution

The fourth proportional to 139.38, 209.07 and 82.74 is: 124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.38 : 209.07 = 82.74 : x
  2. Step 2: Convert to fraction form
    139.38/209.07 = 82.74/x
  3. Step 3: Cross multiply
    139.38x = 209.07 × 82.74
  4. Step 4: Simplify right side
    139.38x = 17,298.45
  5. Step 5: Solve for x
    x = 17,298.45/139.38
  6. Step 6: Final answer
    x = 124.11

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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.