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Finding the Fourth Proportional to 8.41, 11.57 and 6.77

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Solution

The fourth proportional to 8.41, 11.57 and 6.77 is: 9.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.41 : 11.57 = 6.77 : x
  2. Step 2: Convert to fraction form
    8.41/11.57 = 6.77/x
  3. Step 3: Cross multiply
    8.41x = 11.57 × 6.77
  4. Step 4: Simplify right side
    8.41x = 78.33
  5. Step 5: Solve for x
    x = 78.33/8.41
  6. Step 6: Final answer
    x = 9.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.