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Finding the Fourth Proportional to 138.92, 191.22 and 120.52

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Solution

The fourth proportional to 138.92, 191.22 and 120.52 is: 165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.92 : 191.22 = 120.52 : x
  2. Step 2: Convert to fraction form
    138.92/191.22 = 120.52/x
  3. Step 3: Cross multiply
    138.92x = 191.22 × 120.52
  4. Step 4: Simplify right side
    138.92x = 23,045.83
  5. Step 5: Solve for x
    x = 23,045.83/138.92
  6. Step 6: Final answer
    x = 165.89

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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.