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Finding the Fourth Proportional to 139.53, 209.49 and 78.70

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Solution

The fourth proportional to 139.53, 209.49 and 78.70 is: 118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.53 : 209.49 = 78.70 : x
  2. Step 2: Convert to fraction form
    139.53/209.49 = 78.70/x
  3. Step 3: Cross multiply
    139.53x = 209.49 × 78.70
  4. Step 4: Simplify right side
    139.53x = 16,486.86
  5. Step 5: Solve for x
    x = 16,486.86/139.53
  6. Step 6: Final answer
    x = 118.16

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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.