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Finding the Fourth Proportional to 22.66, 33.97 and 11.23

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Solution

The fourth proportional to 22.66, 33.97 and 11.23 is: 16.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.66 : 33.97 = 11.23 : x
  2. Step 2: Convert to fraction form
    22.66/33.97 = 11.23/x
  3. Step 3: Cross multiply
    22.66x = 33.97 × 11.23
  4. Step 4: Simplify right side
    22.66x = 381.48
  5. Step 5: Solve for x
    x = 381.48/22.66
  6. Step 6: Final answer
    x = 16.84

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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.