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Finding the Fourth Proportional to 22.09, 33.14 and 7.84

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Solution

The fourth proportional to 22.09, 33.14 and 7.84 is: 11.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.09 : 33.14 = 7.84 : x
  2. Step 2: Convert to fraction form
    22.09/33.14 = 7.84/x
  3. Step 3: Cross multiply
    22.09x = 33.14 × 7.84
  4. Step 4: Simplify right side
    22.09x = 259.82
  5. Step 5: Solve for x
    x = 259.82/22.09
  6. Step 6: Final answer
    x = 11.76

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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.