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Finding the Fourth Proportional to 139.62, 209.16 and 116.76

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Solution

The fourth proportional to 139.62, 209.16 and 116.76 is: 174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.62 : 209.16 = 116.76 : x
  2. Step 2: Convert to fraction form
    139.62/209.16 = 116.76/x
  3. Step 3: Cross multiply
    139.62x = 209.16 × 116.76
  4. Step 4: Simplify right side
    139.62x = 24,421.52
  5. Step 5: Solve for x
    x = 24,421.52/139.62
  6. Step 6: Final answer
    x = 174.91

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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.