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Finding the Fourth Proportional to 126.68, 174.85 and 82.42

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Solution

The fourth proportional to 126.68, 174.85 and 82.42 is: 113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.68 : 174.85 = 82.42 : x
  2. Step 2: Convert to fraction form
    126.68/174.85 = 82.42/x
  3. Step 3: Cross multiply
    126.68x = 174.85 × 82.42
  4. Step 4: Simplify right side
    126.68x = 14,410.93
  5. Step 5: Solve for x
    x = 14,410.93/126.68
  6. Step 6: Final answer
    x = 113.76

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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.