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Finding the Fourth Proportional to 21.78, 30.20 and 20.97

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Solution

The fourth proportional to 21.78, 30.20 and 20.97 is: 29.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.78 : 30.20 = 20.97 : x
  2. Step 2: Convert to fraction form
    21.78/30.20 = 20.97/x
  3. Step 3: Cross multiply
    21.78x = 30.20 × 20.97
  4. Step 4: Simplify right side
    21.78x = 633.19
  5. Step 5: Solve for x
    x = 633.19/21.78
  6. Step 6: Final answer
    x = 29.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.