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Finding the Fourth Proportional to 126.92, 175.12 and 75.16

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Solution

The fourth proportional to 126.92, 175.12 and 75.16 is: 103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.92 : 175.12 = 75.16 : x
  2. Step 2: Convert to fraction form
    126.92/175.12 = 75.16/x
  3. Step 3: Cross multiply
    126.92x = 175.12 × 75.16
  4. Step 4: Simplify right side
    126.92x = 13,162.02
  5. Step 5: Solve for x
    x = 13,162.02/126.92
  6. Step 6: Final answer
    x = 103.70

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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.