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Finding the Fourth Proportional to 20.78, 30.96 and 20.02

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Solution

The fourth proportional to 20.78, 30.96 and 20.02 is: 29.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.78 : 30.96 = 20.02 : x
  2. Step 2: Convert to fraction form
    20.78/30.96 = 20.02/x
  3. Step 3: Cross multiply
    20.78x = 30.96 × 20.02
  4. Step 4: Simplify right side
    20.78x = 619.82
  5. Step 5: Solve for x
    x = 619.82/20.78
  6. Step 6: Final answer
    x = 29.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.