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Finding the Fourth Proportional to 54.78, 82.16 and 24.33

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Solution

The fourth proportional to 54.78, 82.16 and 24.33 is: 36.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.78 : 82.16 = 24.33 : x
  2. Step 2: Convert to fraction form
    54.78/82.16 = 24.33/x
  3. Step 3: Cross multiply
    54.78x = 82.16 × 24.33
  4. Step 4: Simplify right side
    54.78x = 1,998.70
  5. Step 5: Solve for x
    x = 1,998.70/54.78
  6. Step 6: Final answer
    x = 36.49

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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.