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Finding the Fourth Proportional to 126.57, 175.51 and 122.47

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Solution

The fourth proportional to 126.57, 175.51 and 122.47 is: 169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.57 : 175.51 = 122.47 : x
  2. Step 2: Convert to fraction form
    126.57/175.51 = 122.47/x
  3. Step 3: Cross multiply
    126.57x = 175.51 × 122.47
  4. Step 4: Simplify right side
    126.57x = 21,494.71
  5. Step 5: Solve for x
    x = 21,494.71/126.57
  6. Step 6: Final answer
    x = 169.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.