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Finding the Fourth Proportional to 126.78, 174.86 and 82.56

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Solution

The fourth proportional to 126.78, 174.86 and 82.56 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.78 : 174.86 = 82.56 : x
  2. Step 2: Convert to fraction form
    126.78/174.86 = 82.56/x
  3. Step 3: Cross multiply
    126.78x = 174.86 × 82.56
  4. Step 4: Simplify right side
    126.78x = 14,436.44
  5. Step 5: Solve for x
    x = 14,436.44/126.78
  6. Step 6: Final answer
    x = 113.87

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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.