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Finding the Fourth Proportional to 27.74, 38.21 and 21.62

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Solution

The fourth proportional to 27.74, 38.21 and 21.62 is: 29.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.74 : 38.21 = 21.62 : x
  2. Step 2: Convert to fraction form
    27.74/38.21 = 21.62/x
  3. Step 3: Cross multiply
    27.74x = 38.21 × 21.62
  4. Step 4: Simplify right side
    27.74x = 825.99
  5. Step 5: Solve for x
    x = 825.99/27.74
  6. Step 6: Final answer
    x = 29.78

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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.