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Finding the Fourth Proportional to 138.92, 192.14 and 124.36

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Solution

The fourth proportional to 138.92, 192.14 and 124.36 is: 172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.92 : 192.14 = 124.36 : x
  2. Step 2: Convert to fraction form
    138.92/192.14 = 124.36/x
  3. Step 3: Cross multiply
    138.92x = 192.14 × 124.36
  4. Step 4: Simplify right side
    138.92x = 23,894.53
  5. Step 5: Solve for x
    x = 23,894.53/138.92
  6. Step 6: Final answer
    x = 172.00

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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.