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Finding the Fourth Proportional to 13.31, 20.00 and 10.47

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Solution

The fourth proportional to 13.31, 20.00 and 10.47 is: 15.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.31 : 20.00 = 10.47 : x
  2. Step 2: Convert to fraction form
    13.31/20.00 = 10.47/x
  3. Step 3: Cross multiply
    13.31x = 20.00 × 10.47
  4. Step 4: Simplify right side
    13.31x = 209.35
  5. Step 5: Solve for x
    x = 209.35/13.31
  6. Step 6: Final answer
    x = 15.73

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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.