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Finding the Fourth Proportional to 54.73, 82.05 and 24.31

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Solution

The fourth proportional to 54.73, 82.05 and 24.31 is: 36.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.73 : 82.05 = 24.31 : x
  2. Step 2: Convert to fraction form
    54.73/82.05 = 24.31/x
  3. Step 3: Cross multiply
    54.73x = 82.05 × 24.31
  4. Step 4: Simplify right side
    54.73x = 1,994.64
  5. Step 5: Solve for x
    x = 1,994.64/54.73
  6. Step 6: Final answer
    x = 36.45

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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.