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Finding the Fourth Proportional to 126.25, 189.15 and 82.86

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Solution

The fourth proportional to 126.25, 189.15 and 82.86 is: 124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.25 : 189.15 = 82.86 : x
  2. Step 2: Convert to fraction form
    126.25/189.15 = 82.86/x
  3. Step 3: Cross multiply
    126.25x = 189.15 × 82.86
  4. Step 4: Simplify right side
    126.25x = 15,672.97
  5. Step 5: Solve for x
    x = 15,672.97/126.25
  6. Step 6: Final answer
    x = 124.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.