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Finding the Fourth Proportional to 11.97, 16.42 and 10.94

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Solution

The fourth proportional to 11.97, 16.42 and 10.94 is: 15.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.97 : 16.42 = 10.94 : x
  2. Step 2: Convert to fraction form
    11.97/16.42 = 10.94/x
  3. Step 3: Cross multiply
    11.97x = 16.42 × 10.94
  4. Step 4: Simplify right side
    11.97x = 179.55
  5. Step 5: Solve for x
    x = 179.55/11.97
  6. Step 6: Final answer
    x = 15.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.