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Finding the Fourth Proportional to 27.38, 41.09 and 25.49

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Solution

The fourth proportional to 27.38, 41.09 and 25.49 is: 38.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.38 : 41.09 = 25.49 : x
  2. Step 2: Convert to fraction form
    27.38/41.09 = 25.49/x
  3. Step 3: Cross multiply
    27.38x = 41.09 × 25.49
  4. Step 4: Simplify right side
    27.38x = 1,047.36
  5. Step 5: Solve for x
    x = 1,047.36/27.38
  6. Step 6: Final answer
    x = 38.25

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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.