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Finding the Fourth Proportional to 22.47, 33.71 and 7.83

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Solution

The fourth proportional to 22.47, 33.71 and 7.83 is: 11.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.47 : 33.71 = 7.83 : x
  2. Step 2: Convert to fraction form
    22.47/33.71 = 7.83/x
  3. Step 3: Cross multiply
    22.47x = 33.71 × 7.83
  4. Step 4: Simplify right side
    22.47x = 263.97
  5. Step 5: Solve for x
    x = 263.97/22.47
  6. Step 6: Final answer
    x = 11.75

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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.