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Finding the Fourth Proportional to 54.56, 81.82 and 24.16

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Solution

The fourth proportional to 54.56, 81.82 and 24.16 is: 36.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.56 : 81.82 = 24.16 : x
  2. Step 2: Convert to fraction form
    54.56/81.82 = 24.16/x
  3. Step 3: Cross multiply
    54.56x = 81.82 × 24.16
  4. Step 4: Simplify right side
    54.56x = 1,976.77
  5. Step 5: Solve for x
    x = 1,976.77/54.56
  6. Step 6: Final answer
    x = 36.23

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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.