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Finding the Fourth Proportional to 126.34, 174.41 and 82.71

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Solution

The fourth proportional to 126.34, 174.41 and 82.71 is: 114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.34 : 174.41 = 82.71 : x
  2. Step 2: Convert to fraction form
    126.34/174.41 = 82.71/x
  3. Step 3: Cross multiply
    126.34x = 174.41 × 82.71
  4. Step 4: Simplify right side
    126.34x = 14,425.45
  5. Step 5: Solve for x
    x = 14,425.45/126.34
  6. Step 6: Final answer
    x = 114.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.