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Finding the Fourth Proportional to 54.61, 81.26 and 54.43

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Solution

The fourth proportional to 54.61, 81.26 and 54.43 is: 80.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.61 : 81.26 = 54.43 : x
  2. Step 2: Convert to fraction form
    54.61/81.26 = 54.43/x
  3. Step 3: Cross multiply
    54.61x = 81.26 × 54.43
  4. Step 4: Simplify right side
    54.61x = 4,422.98
  5. Step 5: Solve for x
    x = 4,422.98/54.61
  6. Step 6: Final answer
    x = 80.99

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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.