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Finding the Fourth Proportional to 9.71, 13.40 and 8.09

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Solution

The fourth proportional to 9.71, 13.40 and 8.09 is: 11.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.71 : 13.40 = 8.09 : x
  2. Step 2: Convert to fraction form
    9.71/13.40 = 8.09/x
  3. Step 3: Cross multiply
    9.71x = 13.40 × 8.09
  4. Step 4: Simplify right side
    9.71x = 108.30
  5. Step 5: Solve for x
    x = 108.30/9.71
  6. Step 6: Final answer
    x = 11.16

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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.