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Finding the Fourth Proportional to 126.14, 174.09 and 76.37

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Solution

The fourth proportional to 126.14, 174.09 and 76.37 is: 105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.14 : 174.09 = 76.37 : x
  2. Step 2: Convert to fraction form
    126.14/174.09 = 76.37/x
  3. Step 3: Cross multiply
    126.14x = 174.09 × 76.37
  4. Step 4: Simplify right side
    126.14x = 13,294.38
  5. Step 5: Solve for x
    x = 13,294.38/126.14
  6. Step 6: Final answer
    x = 105.39

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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.