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Finding the Fourth Proportional to 139.90, 209.46 and 71.27

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Solution

The fourth proportional to 139.90, 209.46 and 71.27 is: 106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.90 : 209.46 = 71.27 : x
  2. Step 2: Convert to fraction form
    139.90/209.46 = 71.27/x
  3. Step 3: Cross multiply
    139.90x = 209.46 × 71.27
  4. Step 4: Simplify right side
    139.90x = 14,928.56
  5. Step 5: Solve for x
    x = 14,928.56/139.90
  6. Step 6: Final answer
    x = 106.71

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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.