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Finding the Fourth Proportional to 27.20, 37.49 and 19.41

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Solution

The fourth proportional to 27.20, 37.49 and 19.41 is: 26.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.20 : 37.49 = 19.41 : x
  2. Step 2: Convert to fraction form
    27.20/37.49 = 19.41/x
  3. Step 3: Cross multiply
    27.20x = 37.49 × 19.41
  4. Step 4: Simplify right side
    27.20x = 727.58
  5. Step 5: Solve for x
    x = 727.58/27.20
  6. Step 6: Final answer
    x = 26.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.