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Finding the Fourth Proportional to 126.54, 189.89 and 54.42

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Solution

The fourth proportional to 126.54, 189.89 and 54.42 is: 81.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.54 : 189.89 = 54.42 : x
  2. Step 2: Convert to fraction form
    126.54/189.89 = 54.42/x
  3. Step 3: Cross multiply
    126.54x = 189.89 × 54.42
  4. Step 4: Simplify right side
    126.54x = 10,333.54
  5. Step 5: Solve for x
    x = 10,333.54/126.54
  6. Step 6: Final answer
    x = 81.66

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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.