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Finding the Fourth Proportional to 54.83, 82.22 and 27.38

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Solution

The fourth proportional to 54.83, 82.22 and 27.38 is: 41.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.83 : 82.22 = 27.38 : x
  2. Step 2: Convert to fraction form
    54.83/82.22 = 27.38/x
  3. Step 3: Cross multiply
    54.83x = 82.22 × 27.38
  4. Step 4: Simplify right side
    54.83x = 2,251.29
  5. Step 5: Solve for x
    x = 2,251.29/54.83
  6. Step 6: Final answer
    x = 41.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.