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Finding the Fourth Proportional to 126.38, 174.41 and 71.12

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Solution

The fourth proportional to 126.38, 174.41 and 71.12 is: 98.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.38 : 174.41 = 71.12 : x
  2. Step 2: Convert to fraction form
    126.38/174.41 = 71.12/x
  3. Step 3: Cross multiply
    126.38x = 174.41 × 71.12
  4. Step 4: Simplify right side
    126.38x = 12,403.68
  5. Step 5: Solve for x
    x = 12,403.68/126.38
  6. Step 6: Final answer
    x = 98.15

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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.