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Finding the Fourth Proportional to 139.92, 209.97 and 79.10

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Solution

The fourth proportional to 139.92, 209.97 and 79.10 is: 118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.92 : 209.97 = 79.10 : x
  2. Step 2: Convert to fraction form
    139.92/209.97 = 79.10/x
  3. Step 3: Cross multiply
    139.92x = 209.97 × 79.10
  4. Step 4: Simplify right side
    139.92x = 16,607.58
  5. Step 5: Solve for x
    x = 16,607.58/139.92
  6. Step 6: Final answer
    x = 118.69

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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.