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Finding the Fourth Proportional to 11.98, 16.54 and 11.96

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Solution

The fourth proportional to 11.98, 16.54 and 11.96 is: 16.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.98 : 16.54 = 11.96 : x
  2. Step 2: Convert to fraction form
    11.98/16.54 = 11.96/x
  3. Step 3: Cross multiply
    11.98x = 16.54 × 11.96
  4. Step 4: Simplify right side
    11.98x = 197.82
  5. Step 5: Solve for x
    x = 197.82/11.98
  6. Step 6: Final answer
    x = 16.51

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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.