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Finding the Fourth Proportional to 54.34, 81.47 and 21.82

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Solution

The fourth proportional to 54.34, 81.47 and 21.82 is: 32.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 81.47 = 21.82 : x
  2. Step 2: Convert to fraction form
    54.34/81.47 = 21.82/x
  3. Step 3: Cross multiply
    54.34x = 81.47 × 21.82
  4. Step 4: Simplify right side
    54.34x = 1,777.27
  5. Step 5: Solve for x
    x = 1,777.27/54.34
  6. Step 6: Final answer
    x = 32.71

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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.