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Finding the Fourth Proportional to 22.68, 33.87 and 20.28

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Solution

The fourth proportional to 22.68, 33.87 and 20.28 is: 30.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.68 : 33.87 = 20.28 : x
  2. Step 2: Convert to fraction form
    22.68/33.87 = 20.28/x
  3. Step 3: Cross multiply
    22.68x = 33.87 × 20.28
  4. Step 4: Simplify right side
    22.68x = 686.88
  5. Step 5: Solve for x
    x = 686.88/22.68
  6. Step 6: Final answer
    x = 30.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.