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Finding the Fourth Proportional to 126.97, 189.52 and 116.15

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Solution

The fourth proportional to 126.97, 189.52 and 116.15 is: 173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.97 : 189.52 = 116.15 : x
  2. Step 2: Convert to fraction form
    126.97/189.52 = 116.15/x
  3. Step 3: Cross multiply
    126.97x = 189.52 × 116.15
  4. Step 4: Simplify right side
    126.97x = 22,012.18
  5. Step 5: Solve for x
    x = 22,012.18/126.97
  6. Step 6: Final answer
    x = 173.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.