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Finding the Fourth Proportional to 27.62, 38.01 and 23.44

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Solution

The fourth proportional to 27.62, 38.01 and 23.44 is: 32.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.62 : 38.01 = 23.44 : x
  2. Step 2: Convert to fraction form
    27.62/38.01 = 23.44/x
  3. Step 3: Cross multiply
    27.62x = 38.01 × 23.44
  4. Step 4: Simplify right side
    27.62x = 890.86
  5. Step 5: Solve for x
    x = 890.86/27.62
  6. Step 6: Final answer
    x = 32.26

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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.