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Finding the Fourth Proportional to 20.69, 31.05 and 16.13

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Solution

The fourth proportional to 20.69, 31.05 and 16.13 is: 24.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.69 : 31.05 = 16.13 : x
  2. Step 2: Convert to fraction form
    20.69/31.05 = 16.13/x
  3. Step 3: Cross multiply
    20.69x = 31.05 × 16.13
  4. Step 4: Simplify right side
    20.69x = 500.86
  5. Step 5: Solve for x
    x = 500.86/20.69
  6. Step 6: Final answer
    x = 24.21

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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.