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Finding the Fourth Proportional to 126.82, 175.02 and 80.14

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Solution

The fourth proportional to 126.82, 175.02 and 80.14 is: 110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.82 : 175.02 = 80.14 : x
  2. Step 2: Convert to fraction form
    126.82/175.02 = 80.14/x
  3. Step 3: Cross multiply
    126.82x = 175.02 × 80.14
  4. Step 4: Simplify right side
    126.82x = 14,026.10
  5. Step 5: Solve for x
    x = 14,026.10/126.82
  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.