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Finding the Fourth Proportional to 22.09, 33.12 and 8.56

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Solution

The fourth proportional to 22.09, 33.12 and 8.56 is: 12.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.09 : 33.12 = 8.56 : x
  2. Step 2: Convert to fraction form
    22.09/33.12 = 8.56/x
  3. Step 3: Cross multiply
    22.09x = 33.12 × 8.56
  4. Step 4: Simplify right side
    22.09x = 283.34
  5. Step 5: Solve for x
    x = 283.34/22.09
  6. Step 6: Final answer
    x = 12.83

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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.