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Finding the Fourth Proportional to 9.71, 13.41 and 7.66

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Solution

The fourth proportional to 9.71, 13.41 and 7.66 is: 10.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.71 : 13.41 = 7.66 : x
  2. Step 2: Convert to fraction form
    9.71/13.41 = 7.66/x
  3. Step 3: Cross multiply
    9.71x = 13.41 × 7.66
  4. Step 4: Simplify right side
    9.71x = 102.62
  5. Step 5: Solve for x
    x = 102.62/9.71
  6. Step 6: Final answer
    x = 10.57

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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.