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Finding the Fourth Proportional to 27.44, 37.90 and 23.80

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Solution

The fourth proportional to 27.44, 37.90 and 23.80 is: 32.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.44 : 37.90 = 23.80 : x
  2. Step 2: Convert to fraction form
    27.44/37.90 = 23.80/x
  3. Step 3: Cross multiply
    27.44x = 37.90 × 23.80
  4. Step 4: Simplify right side
    27.44x = 902.02
  5. Step 5: Solve for x
    x = 902.02/27.44
  6. Step 6: Final answer
    x = 32.87

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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.