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Finding the Fourth Proportional to 139.24, 192.14 and 83.97

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Solution

The fourth proportional to 139.24, 192.14 and 83.97 is: 115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 192.14 = 83.97 : x
  2. Step 2: Convert to fraction form
    139.24/192.14 = 83.97/x
  3. Step 3: Cross multiply
    139.24x = 192.14 × 83.97
  4. Step 4: Simplify right side
    139.24x = 16,133.89
  5. Step 5: Solve for x
    x = 16,133.89/139.24
  6. Step 6: Final answer
    x = 115.87

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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.