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Finding the Fourth Proportional to 54, 80.98 and 26.96

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Solution

The fourth proportional to 54, 80.98 and 26.96 is: 40.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 80.98 = 26.96 : x
  2. Step 2: Convert to fraction form
    54/80.98 = 26.96/x
  3. Step 3: Cross multiply
    54x = 80.98 × 26.96
  4. Step 4: Simplify right side
    54x = 2,182.75
  5. Step 5: Solve for x
    x = 2,182.75/54
  6. Step 6: Final answer
    x = 40.42

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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.