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Finding the Fourth Proportional to 54.63, 81.89 and 27.57

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Solution

The fourth proportional to 54.63, 81.89 and 27.57 is: 41.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.63 : 81.89 = 27.57 : x
  2. Step 2: Convert to fraction form
    54.63/81.89 = 27.57/x
  3. Step 3: Cross multiply
    54.63x = 81.89 × 27.57
  4. Step 4: Simplify right side
    54.63x = 2,257.71
  5. Step 5: Solve for x
    x = 2,257.71/54.63
  6. Step 6: Final answer
    x = 41.33

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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.