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Finding the Fourth Proportional to 139.39, 209.07 and 83.86

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Solution

The fourth proportional to 139.39, 209.07 and 83.86 is: 125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.39 : 209.07 = 83.86 : x
  2. Step 2: Convert to fraction form
    139.39/209.07 = 83.86/x
  3. Step 3: Cross multiply
    139.39x = 209.07 × 83.86
  4. Step 4: Simplify right side
    139.39x = 17,532.09
  5. Step 5: Solve for x
    x = 17,532.09/139.39
  6. Step 6: Final answer
    x = 125.78

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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.