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Finding the Fourth Proportional to 9.19, 12.68 and 8.05

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Solution

The fourth proportional to 9.19, 12.68 and 8.05 is: 11.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.19 : 12.68 = 8.05 : x
  2. Step 2: Convert to fraction form
    9.19/12.68 = 8.05/x
  3. Step 3: Cross multiply
    9.19x = 12.68 × 8.05
  4. Step 4: Simplify right side
    9.19x = 102.03
  5. Step 5: Solve for x
    x = 102.03/9.19
  6. Step 6: Final answer
    x = 11.10

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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.