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Finding the Fourth Proportional to 126.73, 189.27 and 106.43

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Solution

The fourth proportional to 126.73, 189.27 and 106.43 is: 158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.73 : 189.27 = 106.43 : x
  2. Step 2: Convert to fraction form
    126.73/189.27 = 106.43/x
  3. Step 3: Cross multiply
    126.73x = 189.27 × 106.43
  4. Step 4: Simplify right side
    126.73x = 20,143.47
  5. Step 5: Solve for x
    x = 20,143.47/126.73
  6. Step 6: Final answer
    x = 158.95

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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.