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Finding the Fourth Proportional to 21.79, 32.69 and 8.27

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Solution

The fourth proportional to 21.79, 32.69 and 8.27 is: 12.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.79 : 32.69 = 8.27 : x
  2. Step 2: Convert to fraction form
    21.79/32.69 = 8.27/x
  3. Step 3: Cross multiply
    21.79x = 32.69 × 8.27
  4. Step 4: Simplify right side
    21.79x = 270.35
  5. Step 5: Solve for x
    x = 270.35/21.79
  6. Step 6: Final answer
    x = 12.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.