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Finding the Fourth Proportional to 54.43, 81.61 and 28.74

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Solution

The fourth proportional to 54.43, 81.61 and 28.74 is: 43.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.43 : 81.61 = 28.74 : x
  2. Step 2: Convert to fraction form
    54.43/81.61 = 28.74/x
  3. Step 3: Cross multiply
    54.43x = 81.61 × 28.74
  4. Step 4: Simplify right side
    54.43x = 2,345.47
  5. Step 5: Solve for x
    x = 2,345.47/54.43
  6. Step 6: Final answer
    x = 43.09

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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.