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Finding the Fourth Proportional to 126.46, 189.73 and 54.32

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Solution

The fourth proportional to 126.46, 189.73 and 54.32 is: 81.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.46 : 189.73 = 54.32 : x
  2. Step 2: Convert to fraction form
    126.46/189.73 = 54.32/x
  3. Step 3: Cross multiply
    126.46x = 189.73 × 54.32
  4. Step 4: Simplify right side
    126.46x = 10,306.13
  5. Step 5: Solve for x
    x = 10,306.13/126.46
  6. Step 6: Final answer
    x = 81.50

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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.