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Finding the Fourth Proportional to 54.27, 81.33 and 21.74

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Solution

The fourth proportional to 54.27, 81.33 and 21.74 is: 32.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.27 : 81.33 = 21.74 : x
  2. Step 2: Convert to fraction form
    54.27/81.33 = 21.74/x
  3. Step 3: Cross multiply
    54.27x = 81.33 × 21.74
  4. Step 4: Simplify right side
    54.27x = 1,767.71
  5. Step 5: Solve for x
    x = 1,767.71/54.27
  6. Step 6: Final answer
    x = 32.57

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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.