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Finding the Fourth Proportional to 8.23, 12.27 and 7.64

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Solution

The fourth proportional to 8.23, 12.27 and 7.64 is: 11.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 12.27 = 7.64 : x
  2. Step 2: Convert to fraction form
    8.23/12.27 = 7.64/x
  3. Step 3: Cross multiply
    8.23x = 12.27 × 7.64
  4. Step 4: Simplify right side
    8.23x = 93.74
  5. Step 5: Solve for x
    x = 93.74/8.23
  6. Step 6: Final answer
    x = 11.39

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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.