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Finding the Fourth Proportional to 20.71, 30.94 and 16.66

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Solution

The fourth proportional to 20.71, 30.94 and 16.66 is: 24.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.71 : 30.94 = 16.66 : x
  2. Step 2: Convert to fraction form
    20.71/30.94 = 16.66/x
  3. Step 3: Cross multiply
    20.71x = 30.94 × 16.66
  4. Step 4: Simplify right side
    20.71x = 515.40
  5. Step 5: Solve for x
    x = 515.40/20.71
  6. Step 6: Final answer
    x = 24.89

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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.