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Finding the Fourth Proportional to 20.94, 31.44 and 16.44

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Solution

The fourth proportional to 20.94, 31.44 and 16.44 is: 24.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.94 : 31.44 = 16.44 : x
  2. Step 2: Convert to fraction form
    20.94/31.44 = 16.44/x
  3. Step 3: Cross multiply
    20.94x = 31.44 × 16.44
  4. Step 4: Simplify right side
    20.94x = 516.87
  5. Step 5: Solve for x
    x = 516.87/20.94
  6. Step 6: Final answer
    x = 24.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.