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Finding the Fourth Proportional to 22.59, 33.84 and 20.39

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Solution

The fourth proportional to 22.59, 33.84 and 20.39 is: 30.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.59 : 33.84 = 20.39 : x
  2. Step 2: Convert to fraction form
    22.59/33.84 = 20.39/x
  3. Step 3: Cross multiply
    22.59x = 33.84 × 20.39
  4. Step 4: Simplify right side
    22.59x = 689.83
  5. Step 5: Solve for x
    x = 689.83/22.59
  6. Step 6: Final answer
    x = 30.54

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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.