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Finding the Fourth Proportional to 139.38, 209.22 and 81.64

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Solution

The fourth proportional to 139.38, 209.22 and 81.64 is: 122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.38 : 209.22 = 81.64 : x
  2. Step 2: Convert to fraction form
    139.38/209.22 = 81.64/x
  3. Step 3: Cross multiply
    139.38x = 209.22 × 81.64
  4. Step 4: Simplify right side
    139.38x = 17,080.72
  5. Step 5: Solve for x
    x = 17,080.72/139.38
  6. Step 6: Final answer
    x = 122.55

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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.