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Finding the Fourth Proportional to 7.73, 11.60 and 3.22

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Solution

The fourth proportional to 7.73, 11.60 and 3.22 is: 4.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.73 : 11.60 = 3.22 : x
  2. Step 2: Convert to fraction form
    7.73/11.60 = 3.22/x
  3. Step 3: Cross multiply
    7.73x = 11.60 × 3.22
  4. Step 4: Simplify right side
    7.73x = 37.34
  5. Step 5: Solve for x
    x = 37.34/7.73
  6. Step 6: Final answer
    x = 4.83

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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.