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Finding the Fourth Proportional to 54.85, 82.27 and 22.81

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Solution

The fourth proportional to 54.85, 82.27 and 22.81 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.85 : 82.27 = 22.81 : x
  2. Step 2: Convert to fraction form
    54.85/82.27 = 22.81/x
  3. Step 3: Cross multiply
    54.85x = 82.27 × 22.81
  4. Step 4: Simplify right side
    54.85x = 1,876.05
  5. Step 5: Solve for x
    x = 1,876.05/54.85
  6. Step 6: Final answer
    x = 34.21

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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.