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Finding the Fourth Proportional to 126.57, 174.66 and 77.43

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Solution

The fourth proportional to 126.57, 174.66 and 77.43 is: 106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.57 : 174.66 = 77.43 : x
  2. Step 2: Convert to fraction form
    126.57/174.66 = 77.43/x
  3. Step 3: Cross multiply
    126.57x = 174.66 × 77.43
  4. Step 4: Simplify right side
    126.57x = 13,523.92
  5. Step 5: Solve for x
    x = 13,523.92/126.57
  6. Step 6: Final answer
    x = 106.85

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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.