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Finding the Fourth Proportional to 20.45, 30.71 and 16.47

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Solution

The fourth proportional to 20.45, 30.71 and 16.47 is: 24.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.45 : 30.71 = 16.47 : x
  2. Step 2: Convert to fraction form
    20.45/30.71 = 16.47/x
  3. Step 3: Cross multiply
    20.45x = 30.71 × 16.47
  4. Step 4: Simplify right side
    20.45x = 505.83
  5. Step 5: Solve for x
    x = 505.83/20.45
  6. Step 6: Final answer
    x = 24.73

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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.