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Finding the Fourth Proportional to 54.10, 81.10 and 28.39

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Solution

The fourth proportional to 54.10, 81.10 and 28.39 is: 42.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.10 : 81.10 = 28.39 : x
  2. Step 2: Convert to fraction form
    54.10/81.10 = 28.39/x
  3. Step 3: Cross multiply
    54.10x = 81.10 × 28.39
  4. Step 4: Simplify right side
    54.10x = 2,301.88
  5. Step 5: Solve for x
    x = 2,301.88/54.10
  6. Step 6: Final answer
    x = 42.55

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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.