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Finding the Fourth Proportional to 7.26, 10.82 and 7.23

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Solution

The fourth proportional to 7.26, 10.82 and 7.23 is: 10.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.26 : 10.82 = 7.23 : x
  2. Step 2: Convert to fraction form
    7.26/10.82 = 7.23/x
  3. Step 3: Cross multiply
    7.26x = 10.82 × 7.23
  4. Step 4: Simplify right side
    7.26x = 78.19
  5. Step 5: Solve for x
    x = 78.19/7.26
  6. Step 6: Final answer
    x = 10.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.