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Finding the Fourth Proportional to 16.09, 24.12 and 8.07

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Solution

The fourth proportional to 16.09, 24.12 and 8.07 is: 12.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.09 : 24.12 = 8.07 : x
  2. Step 2: Convert to fraction form
    16.09/24.12 = 8.07/x
  3. Step 3: Cross multiply
    16.09x = 24.12 × 8.07
  4. Step 4: Simplify right side
    16.09x = 194.65
  5. Step 5: Solve for x
    x = 194.65/16.09
  6. Step 6: Final answer
    x = 12.10

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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.