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Finding the Fourth Proportional to 16.05, 24.08 and 11.78

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Solution

The fourth proportional to 16.05, 24.08 and 11.78 is: 17.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.05 : 24.08 = 11.78 : x
  2. Step 2: Convert to fraction form
    16.05/24.08 = 11.78/x
  3. Step 3: Cross multiply
    16.05x = 24.08 × 11.78
  4. Step 4: Simplify right side
    16.05x = 283.48
  5. Step 5: Solve for x
    x = 283.48/16.05
  6. Step 6: Final answer
    x = 17.66

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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.