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Finding the Fourth Proportional to 27.44, 41.22 and 24.80

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Solution

The fourth proportional to 27.44, 41.22 and 24.80 is: 37.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.44 : 41.22 = 24.80 : x
  2. Step 2: Convert to fraction form
    27.44/41.22 = 24.80/x
  3. Step 3: Cross multiply
    27.44x = 41.22 × 24.80
  4. Step 4: Simplify right side
    27.44x = 1,022.26
  5. Step 5: Solve for x
    x = 1,022.26/27.44
  6. Step 6: Final answer
    x = 37.25

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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.