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Finding the Fourth Proportional to 126.97, 190.61 and 96.73

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Solution

The fourth proportional to 126.97, 190.61 and 96.73 is: 145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.97 : 190.61 = 96.73 : x
  2. Step 2: Convert to fraction form
    126.97/190.61 = 96.73/x
  3. Step 3: Cross multiply
    126.97x = 190.61 × 96.73
  4. Step 4: Simplify right side
    126.97x = 18,437.71
  5. Step 5: Solve for x
    x = 18,437.71/126.97
  6. Step 6: Final answer
    x = 145.21

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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.