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Finding the Fourth Proportional to 7.83, 11.67 and 7.31

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Solution

The fourth proportional to 7.83, 11.67 and 7.31 is: 10.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.83 : 11.67 = 7.31 : x
  2. Step 2: Convert to fraction form
    7.83/11.67 = 7.31/x
  3. Step 3: Cross multiply
    7.83x = 11.67 × 7.31
  4. Step 4: Simplify right side
    7.83x = 85.31
  5. Step 5: Solve for x
    x = 85.31/7.83
  6. Step 6: Final answer
    x = 10.90

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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.