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Finding the Fourth Proportional to 126.97, 175.19 and 80.26

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Solution

The fourth proportional to 126.97, 175.19 and 80.26 is: 110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.97 : 175.19 = 80.26 : x
  2. Step 2: Convert to fraction form
    126.97/175.19 = 80.26/x
  3. Step 3: Cross multiply
    126.97x = 175.19 × 80.26
  4. Step 4: Simplify right side
    126.97x = 14,059.91
  5. Step 5: Solve for x
    x = 14,059.91/126.97
  6. Step 6: Final answer
    x = 110.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.