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Finding the Fourth Proportional to 54.73, 82.09 and 14.15

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Solution

The fourth proportional to 54.73, 82.09 and 14.15 is: 21.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.73 : 82.09 = 14.15 : x
  2. Step 2: Convert to fraction form
    54.73/82.09 = 14.15/x
  3. Step 3: Cross multiply
    54.73x = 82.09 × 14.15
  4. Step 4: Simplify right side
    54.73x = 1,161.73
  5. Step 5: Solve for x
    x = 1,161.73/54.73
  6. Step 6: Final answer
    x = 21.23

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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.