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Finding the Fourth Proportional to 16.19, 24.25 and 8.16

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Solution

The fourth proportional to 16.19, 24.25 and 8.16 is: 12.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.19 : 24.25 = 8.16 : x
  2. Step 2: Convert to fraction form
    16.19/24.25 = 8.16/x
  3. Step 3: Cross multiply
    16.19x = 24.25 × 8.16
  4. Step 4: Simplify right side
    16.19x = 197.88
  5. Step 5: Solve for x
    x = 197.88/16.19
  6. Step 6: Final answer
    x = 12.22

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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.