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Finding the Fourth Proportional to 126.45, 174.52 and 82.91

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Solution

The fourth proportional to 126.45, 174.52 and 82.91 is: 114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.45 : 174.52 = 82.91 : x
  2. Step 2: Convert to fraction form
    126.45/174.52 = 82.91/x
  3. Step 3: Cross multiply
    126.45x = 174.52 × 82.91
  4. Step 4: Simplify right side
    126.45x = 14,469.45
  5. Step 5: Solve for x
    x = 14,469.45/126.45
  6. Step 6: Final answer
    x = 114.43

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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.