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Finding the Fourth Proportional to 139.46, 209.22 and 48.15

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Solution

The fourth proportional to 139.46, 209.22 and 48.15 is: 72.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.46 : 209.22 = 48.15 : x
  2. Step 2: Convert to fraction form
    139.46/209.22 = 48.15/x
  3. Step 3: Cross multiply
    139.46x = 209.22 × 48.15
  4. Step 4: Simplify right side
    139.46x = 10,073.76
  5. Step 5: Solve for x
    x = 10,073.76/139.46
  6. Step 6: Final answer
    x = 72.24

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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.