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Finding the Fourth Proportional to 20.85, 31.19 and 13.23

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Solution

The fourth proportional to 20.85, 31.19 and 13.23 is: 19.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.85 : 31.19 = 13.23 : x
  2. Step 2: Convert to fraction form
    20.85/31.19 = 13.23/x
  3. Step 3: Cross multiply
    20.85x = 31.19 × 13.23
  4. Step 4: Simplify right side
    20.85x = 412.69
  5. Step 5: Solve for x
    x = 412.69/20.85
  6. Step 6: Final answer
    x = 19.80

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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.