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Finding the Fourth Proportional to 126.82, 174.90 and 107.19

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Solution

The fourth proportional to 126.82, 174.90 and 107.19 is: 147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.82 : 174.90 = 107.19 : x
  2. Step 2: Convert to fraction form
    126.82/174.90 = 107.19/x
  3. Step 3: Cross multiply
    126.82x = 174.90 × 107.19
  4. Step 4: Simplify right side
    126.82x = 18,747.53
  5. Step 5: Solve for x
    x = 18,747.53/126.82
  6. Step 6: Final answer
    x = 147.83

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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.