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Finding the Fourth Proportional to 139.19, 192.09 and 83.92

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Solution

The fourth proportional to 139.19, 192.09 and 83.92 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.19 : 192.09 = 83.92 : x
  2. Step 2: Convert to fraction form
    139.19/192.09 = 83.92/x
  3. Step 3: Cross multiply
    139.19x = 192.09 × 83.92
  4. Step 4: Simplify right side
    139.19x = 16,119.71
  5. Step 5: Solve for x
    x = 16,119.71/139.19
  6. Step 6: Final answer
    x = 115.82

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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.