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Finding the Fourth Proportional to 138.92, 191.30 and 127.96

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Solution

The fourth proportional to 138.92, 191.30 and 127.96 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.92 : 191.30 = 127.96 : x
  2. Step 2: Convert to fraction form
    138.92/191.30 = 127.96/x
  3. Step 3: Cross multiply
    138.92x = 191.30 × 127.96
  4. Step 4: Simplify right side
    138.92x = 24,478.75
  5. Step 5: Solve for x
    x = 24,478.75/138.92
  6. Step 6: Final answer
    x = 176.21

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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.