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Finding the Fourth Proportional to 22.10, 33.10 and 11.78

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Solution

The fourth proportional to 22.10, 33.10 and 11.78 is: 17.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.10 : 33.10 = 11.78 : x
  2. Step 2: Convert to fraction form
    22.10/33.10 = 11.78/x
  3. Step 3: Cross multiply
    22.10x = 33.10 × 11.78
  4. Step 4: Simplify right side
    22.10x = 389.93
  5. Step 5: Solve for x
    x = 389.93/22.10
  6. Step 6: Final answer
    x = 17.65

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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.