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Finding the Fourth Proportional to 138.92, 192.12 and 124.34

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Solution

The fourth proportional to 138.92, 192.12 and 124.34 is: 171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.92 : 192.12 = 124.34 : x
  2. Step 2: Convert to fraction form
    138.92/192.12 = 124.34/x
  3. Step 3: Cross multiply
    138.92x = 192.12 × 124.34
  4. Step 4: Simplify right side
    138.92x = 23,888.20
  5. Step 5: Solve for x
    x = 23,888.20/138.92
  6. Step 6: Final answer
    x = 171.96

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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.