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Finding the Fourth Proportional to 20.50, 28.33 and 16.13

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Solution

The fourth proportional to 20.50, 28.33 and 16.13 is: 22.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.50 : 28.33 = 16.13 : x
  2. Step 2: Convert to fraction form
    20.50/28.33 = 16.13/x
  3. Step 3: Cross multiply
    20.50x = 28.33 × 16.13
  4. Step 4: Simplify right side
    20.50x = 456.74
  5. Step 5: Solve for x
    x = 456.74/20.50
  6. Step 6: Final answer
    x = 22.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.