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Finding the Fourth Proportional to 22.69, 34.02 and 9.85

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Solution

The fourth proportional to 22.69, 34.02 and 9.85 is: 14.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.69 : 34.02 = 9.85 : x
  2. Step 2: Convert to fraction form
    22.69/34.02 = 9.85/x
  3. Step 3: Cross multiply
    22.69x = 34.02 × 9.85
  4. Step 4: Simplify right side
    22.69x = 335.10
  5. Step 5: Solve for x
    x = 335.10/22.69
  6. Step 6: Final answer
    x = 14.77

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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.