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Finding the Fourth Proportional to 9.22, 13.82 and 7.72

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Solution

The fourth proportional to 9.22, 13.82 and 7.72 is: 11.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.22 : 13.82 = 7.72 : x
  2. Step 2: Convert to fraction form
    9.22/13.82 = 7.72/x
  3. Step 3: Cross multiply
    9.22x = 13.82 × 7.72
  4. Step 4: Simplify right side
    9.22x = 106.69
  5. Step 5: Solve for x
    x = 106.69/9.22
  6. Step 6: Final answer
    x = 11.57

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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.