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Finding the Fourth Proportional to 20.78, 31.15 and 13.15

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Solution

The fourth proportional to 20.78, 31.15 and 13.15 is: 19.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.78 : 31.15 = 13.15 : x
  2. Step 2: Convert to fraction form
    20.78/31.15 = 13.15/x
  3. Step 3: Cross multiply
    20.78x = 31.15 × 13.15
  4. Step 4: Simplify right side
    20.78x = 409.62
  5. Step 5: Solve for x
    x = 409.62/20.78
  6. Step 6: Final answer
    x = 19.71

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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.