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Finding the Fourth Proportional to 20.31, 30.33 and 16.29

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Solution

The fourth proportional to 20.31, 30.33 and 16.29 is: 24.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.31 : 30.33 = 16.29 : x
  2. Step 2: Convert to fraction form
    20.31/30.33 = 16.29/x
  3. Step 3: Cross multiply
    20.31x = 30.33 × 16.29
  4. Step 4: Simplify right side
    20.31x = 494.08
  5. Step 5: Solve for x
    x = 494.08/20.31
  6. Step 6: Final answer
    x = 24.33

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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.