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Finding the Fourth Proportional to 20.78, 31.24 and 19.54

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Solution

The fourth proportional to 20.78, 31.24 and 19.54 is: 29.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.78 : 31.24 = 19.54 : x
  2. Step 2: Convert to fraction form
    20.78/31.24 = 19.54/x
  3. Step 3: Cross multiply
    20.78x = 31.24 × 19.54
  4. Step 4: Simplify right side
    20.78x = 610.43
  5. Step 5: Solve for x
    x = 610.43/20.78
  6. Step 6: Final answer
    x = 29.38

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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.