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Finding the Fourth Proportional to 54.22, 81.19 and 27.09

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Solution

The fourth proportional to 54.22, 81.19 and 27.09 is: 40.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.22 : 81.19 = 27.09 : x
  2. Step 2: Convert to fraction form
    54.22/81.19 = 27.09/x
  3. Step 3: Cross multiply
    54.22x = 81.19 × 27.09
  4. Step 4: Simplify right side
    54.22x = 2,199.78
  5. Step 5: Solve for x
    x = 2,199.78/54.22
  6. Step 6: Final answer
    x = 40.57

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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.