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Finding the Fourth Proportional to 139.74, 209.61 and 42.24

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Solution

The fourth proportional to 139.74, 209.61 and 42.24 is: 63.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.74 : 209.61 = 42.24 : x
  2. Step 2: Convert to fraction form
    139.74/209.61 = 42.24/x
  3. Step 3: Cross multiply
    139.74x = 209.61 × 42.24
  4. Step 4: Simplify right side
    139.74x = 8,853.93
  5. Step 5: Solve for x
    x = 8,853.93/139.74
  6. Step 6: Final answer
    x = 63.36

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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.