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Finding the Fourth Proportional to 126.74, 174.96 and 80.12

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Solution

The fourth proportional to 126.74, 174.96 and 80.12 is: 110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.74 : 174.96 = 80.12 : x
  2. Step 2: Convert to fraction form
    126.74/174.96 = 80.12/x
  3. Step 3: Cross multiply
    126.74x = 174.96 × 80.12
  4. Step 4: Simplify right side
    126.74x = 14,016.52
  5. Step 5: Solve for x
    x = 14,016.52/126.74
  6. Step 6: Final answer
    x = 110.60

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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.