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Finding the Fourth Proportional to 126.62, 174.91 and 105.97

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Solution

The fourth proportional to 126.62, 174.91 and 105.97 is: 146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.62 : 174.91 = 105.97 : x
  2. Step 2: Convert to fraction form
    126.62/174.91 = 105.97/x
  3. Step 3: Cross multiply
    126.62x = 174.91 × 105.97
  4. Step 4: Simplify right side
    126.62x = 18,535.21
  5. Step 5: Solve for x
    x = 18,535.21/126.62
  6. Step 6: Final answer
    x = 146.38

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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.