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Finding the Fourth Proportional to 54.87, 82.32 and 18.31

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Solution

The fourth proportional to 54.87, 82.32 and 18.31 is: 27.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.87 : 82.32 = 18.31 : x
  2. Step 2: Convert to fraction form
    54.87/82.32 = 18.31/x
  3. Step 3: Cross multiply
    54.87x = 82.32 × 18.31
  4. Step 4: Simplify right side
    54.87x = 1,507.28
  5. Step 5: Solve for x
    x = 1,507.28/54.87
  6. Step 6: Final answer
    x = 27.47

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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.