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Finding the Fourth Proportional to 7.25, 9.96 and 6.33

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Solution

The fourth proportional to 7.25, 9.96 and 6.33 is: 8.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.25 : 9.96 = 6.33 : x
  2. Step 2: Convert to fraction form
    7.25/9.96 = 6.33/x
  3. Step 3: Cross multiply
    7.25x = 9.96 × 6.33
  4. Step 4: Simplify right side
    7.25x = 63.05
  5. Step 5: Solve for x
    x = 63.05/7.25
  6. Step 6: Final answer
    x = 8.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.