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Finding the Fourth Proportional to 11.79, 17.69 and 7.22

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Solution

The fourth proportional to 11.79, 17.69 and 7.22 is: 10.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.79 : 17.69 = 7.22 : x
  2. Step 2: Convert to fraction form
    11.79/17.69 = 7.22/x
  3. Step 3: Cross multiply
    11.79x = 17.69 × 7.22
  4. Step 4: Simplify right side
    11.79x = 127.72
  5. Step 5: Solve for x
    x = 127.72/11.79
  6. Step 6: Final answer
    x = 10.83

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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.