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Finding the Fourth Proportional to 27.48, 37.88 and 20.90

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Solution

The fourth proportional to 27.48, 37.88 and 20.90 is: 28.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.48 : 37.88 = 20.90 : x
  2. Step 2: Convert to fraction form
    27.48/37.88 = 20.90/x
  3. Step 3: Cross multiply
    27.48x = 37.88 × 20.90
  4. Step 4: Simplify right side
    27.48x = 791.69
  5. Step 5: Solve for x
    x = 791.69/27.48
  6. Step 6: Final answer
    x = 28.81

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