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Finding the Fourth Proportional to 16.00, 23.94 and 12.17

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Solution

The fourth proportional to 16.00, 23.94 and 12.17 is: 18.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.00 : 23.94 = 12.17 : x
  2. Step 2: Convert to fraction form
    16.00/23.94 = 12.17/x
  3. Step 3: Cross multiply
    16.00x = 23.94 × 12.17
  4. Step 4: Simplify right side
    16.00x = 291.41
  5. Step 5: Solve for x
    x = 291.41/16.00
  6. Step 6: Final answer
    x = 18.22

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Why These Related Problems?

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