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Finding the Fourth Proportional to 54.84, 82.23 and 27.82

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Solution

The fourth proportional to 54.84, 82.23 and 27.82 is: 41.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 82.23 = 27.82 : x
  2. Step 2: Convert to fraction form
    54.84/82.23 = 27.82/x
  3. Step 3: Cross multiply
    54.84x = 82.23 × 27.82
  4. Step 4: Simplify right side
    54.84x = 2,287.64
  5. Step 5: Solve for x
    x = 2,287.64/54.84
  6. Step 6: Final answer
    x = 41.71

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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.