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Finding the Fourth Proportional to 9.42, 13.02 and 8.09

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Solution

The fourth proportional to 9.42, 13.02 and 8.09 is: 11.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.42 : 13.02 = 8.09 : x
  2. Step 2: Convert to fraction form
    9.42/13.02 = 8.09/x
  3. Step 3: Cross multiply
    9.42x = 13.02 × 8.09
  4. Step 4: Simplify right side
    9.42x = 105.27
  5. Step 5: Solve for x
    x = 105.27/9.42
  6. Step 6: Final answer
    x = 11.17

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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.