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Finding the Fourth Proportional to 126.30, 174.14 and 82.56

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Solution

The fourth proportional to 126.30, 174.14 and 82.56 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.30 : 174.14 = 82.56 : x
  2. Step 2: Convert to fraction form
    126.30/174.14 = 82.56/x
  3. Step 3: Cross multiply
    126.30x = 174.14 × 82.56
  4. Step 4: Simplify right side
    126.30x = 14,377.00
  5. Step 5: Solve for x
    x = 14,377.00/126.30
  6. Step 6: Final answer
    x = 113.83

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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.