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Finding the Fourth Proportional to 54.50, 81.75 and 16.50

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Solution

The fourth proportional to 54.50, 81.75 and 16.50 is: 24.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 81.75 = 16.50 : x
  2. Step 2: Convert to fraction form
    54.50/81.75 = 16.50/x
  3. Step 3: Cross multiply
    54.50x = 81.75 × 16.50
  4. Step 4: Simplify right side
    54.50x = 1,348.88
  5. Step 5: Solve for x
    x = 1,348.88/54.50
  6. Step 6: Final answer
    x = 24.75

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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.