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Finding the Fourth Proportional to 20.95, 28.84 and 16.09

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Solution

The fourth proportional to 20.95, 28.84 and 16.09 is: 22.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.95 : 28.84 = 16.09 : x
  2. Step 2: Convert to fraction form
    20.95/28.84 = 16.09/x
  3. Step 3: Cross multiply
    20.95x = 28.84 × 16.09
  4. Step 4: Simplify right side
    20.95x = 464.04
  5. Step 5: Solve for x
    x = 464.04/20.95
  6. Step 6: Final answer
    x = 22.15

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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.