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Finding the Fourth Proportional to 139.12, 191.98 and 83.91

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Solution

The fourth proportional to 139.12, 191.98 and 83.91 is: 115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.12 : 191.98 = 83.91 : x
  2. Step 2: Convert to fraction form
    139.12/191.98 = 83.91/x
  3. Step 3: Cross multiply
    139.12x = 191.98 × 83.91
  4. Step 4: Simplify right side
    139.12x = 16,109.04
  5. Step 5: Solve for x
    x = 16,109.04/139.12
  6. Step 6: Final answer
    x = 115.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.