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Finding the Fourth Proportional to 16.86, 23.22 and 11.68

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Solution

The fourth proportional to 16.86, 23.22 and 11.68 is: 16.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.86 : 23.22 = 11.68 : x
  2. Step 2: Convert to fraction form
    16.86/23.22 = 11.68/x
  3. Step 3: Cross multiply
    16.86x = 23.22 × 11.68
  4. Step 4: Simplify right side
    16.86x = 271.21
  5. Step 5: Solve for x
    x = 271.21/16.86
  6. Step 6: Final answer
    x = 16.09

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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.