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Finding the Fourth Proportional to 27.49, 37.85 and 20.20

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Solution

The fourth proportional to 27.49, 37.85 and 20.20 is: 27.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.49 : 37.85 = 20.20 : x
  2. Step 2: Convert to fraction form
    27.49/37.85 = 20.20/x
  3. Step 3: Cross multiply
    27.49x = 37.85 × 20.20
  4. Step 4: Simplify right side
    27.49x = 764.47
  5. Step 5: Solve for x
    x = 764.47/27.49
  6. Step 6: Final answer
    x = 27.81

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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.