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Finding the Fourth Proportional to 22.65, 33.96 and 8.20

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Solution

The fourth proportional to 22.65, 33.96 and 8.20 is: 12.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.65 : 33.96 = 8.20 : x
  2. Step 2: Convert to fraction form
    22.65/33.96 = 8.20/x
  3. Step 3: Cross multiply
    22.65x = 33.96 × 8.20
  4. Step 4: Simplify right side
    22.65x = 278.26
  5. Step 5: Solve for x
    x = 278.26/22.65
  6. Step 6: Final answer
    x = 12.29

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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.