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Finding the Fourth Proportional to 126.14, 173.95 and 86.84

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Solution

The fourth proportional to 126.14, 173.95 and 86.84 is: 119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.14 : 173.95 = 86.84 : x
  2. Step 2: Convert to fraction form
    126.14/173.95 = 86.84/x
  3. Step 3: Cross multiply
    126.14x = 173.95 × 86.84
  4. Step 4: Simplify right side
    126.14x = 15,104.73
  5. Step 5: Solve for x
    x = 15,104.73/126.14
  6. Step 6: Final answer
    x = 119.74

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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.