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Finding the Fourth Proportional to 11.97, 18.02 and 9.13

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Solution

The fourth proportional to 11.97, 18.02 and 9.13 is: 13.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.97 : 18.02 = 9.13 : x
  2. Step 2: Convert to fraction form
    11.97/18.02 = 9.13/x
  3. Step 3: Cross multiply
    11.97x = 18.02 × 9.13
  4. Step 4: Simplify right side
    11.97x = 164.53
  5. Step 5: Solve for x
    x = 164.53/11.97
  6. Step 6: Final answer
    x = 13.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.