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Finding the Fourth Proportional to 22.10, 33.14 and 20.97

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Solution

The fourth proportional to 22.10, 33.14 and 20.97 is: 31.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.10 : 33.14 = 20.97 : x
  2. Step 2: Convert to fraction form
    22.10/33.14 = 20.97/x
  3. Step 3: Cross multiply
    22.10x = 33.14 × 20.97
  4. Step 4: Simplify right side
    22.10x = 694.84
  5. Step 5: Solve for x
    x = 694.84/22.10
  6. Step 6: Final answer
    x = 31.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.