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Finding the Fourth Proportional to 54.77, 82.17 and 24.30

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Solution

The fourth proportional to 54.77, 82.17 and 24.30 is: 36.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.77 : 82.17 = 24.30 : x
  2. Step 2: Convert to fraction form
    54.77/82.17 = 24.30/x
  3. Step 3: Cross multiply
    54.77x = 82.17 × 24.30
  4. Step 4: Simplify right side
    54.77x = 1,996.73
  5. Step 5: Solve for x
    x = 1,996.73/54.77
  6. Step 6: Final answer
    x = 36.46

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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.