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Finding the Fourth Proportional to 16.10, 24.07 and 11.82

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Solution

The fourth proportional to 16.10, 24.07 and 11.82 is: 17.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.10 : 24.07 = 11.82 : x
  2. Step 2: Convert to fraction form
    16.10/24.07 = 11.82/x
  3. Step 3: Cross multiply
    16.10x = 24.07 × 11.82
  4. Step 4: Simplify right side
    16.10x = 284.56
  5. Step 5: Solve for x
    x = 284.56/16.10
  6. Step 6: Final answer
    x = 17.68

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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.