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Finding the Fourth Proportional to 126.85, 175.15 and 80.27

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Solution

The fourth proportional to 126.85, 175.15 and 80.27 is: 110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.85 : 175.15 = 80.27 : x
  2. Step 2: Convert to fraction form
    126.85/175.15 = 80.27/x
  3. Step 3: Cross multiply
    126.85x = 175.15 × 80.27
  4. Step 4: Simplify right side
    126.85x = 14,058.57
  5. Step 5: Solve for x
    x = 14,058.57/126.85
  6. Step 6: Final answer
    x = 110.83

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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.