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Finding the Fourth Proportional to 27.66, 38.11 and 22.80

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Solution

The fourth proportional to 27.66, 38.11 and 22.80 is: 31.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.66 : 38.11 = 22.80 : x
  2. Step 2: Convert to fraction form
    27.66/38.11 = 22.80/x
  3. Step 3: Cross multiply
    27.66x = 38.11 × 22.80
  4. Step 4: Simplify right side
    27.66x = 868.91
  5. Step 5: Solve for x
    x = 868.91/27.66
  6. Step 6: Final answer
    x = 31.41

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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.