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Finding the Fourth Proportional to 20.50, 30.82 and 16

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Solution

The fourth proportional to 20.50, 30.82 and 16 is: 24.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.50 : 30.82 = 16 : x
  2. Step 2: Convert to fraction form
    20.50/30.82 = 16/x
  3. Step 3: Cross multiply
    20.50x = 30.82 × 16
  4. Step 4: Simplify right side
    20.50x = 493.12
  5. Step 5: Solve for x
    x = 493.12/20.50
  6. Step 6: Final answer
    x = 24.05

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Why These Related Problems?

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