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Finding the Fourth Proportional to 16.67, 22.97 and 13.22

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Solution

The fourth proportional to 16.67, 22.97 and 13.22 is: 18.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.67 : 22.97 = 13.22 : x
  2. Step 2: Convert to fraction form
    16.67/22.97 = 13.22/x
  3. Step 3: Cross multiply
    16.67x = 22.97 × 13.22
  4. Step 4: Simplify right side
    16.67x = 303.48
  5. Step 5: Solve for x
    x = 303.48/16.67
  6. Step 6: Final answer
    x = 18.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.