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Finding the Fourth Proportional to 54.49, 81.73 and 15.98

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Solution

The fourth proportional to 54.49, 81.73 and 15.98 is: 23.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.49 : 81.73 = 15.98 : x
  2. Step 2: Convert to fraction form
    54.49/81.73 = 15.98/x
  3. Step 3: Cross multiply
    54.49x = 81.73 × 15.98
  4. Step 4: Simplify right side
    54.49x = 1,306.05
  5. Step 5: Solve for x
    x = 1,306.05/54.49
  6. Step 6: Final answer
    x = 23.97

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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.