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Finding the Fourth Proportional to 11.84, 16.33 and 9.89

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Solution

The fourth proportional to 11.84, 16.33 and 9.89 is: 13.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.84 : 16.33 = 9.89 : x
  2. Step 2: Convert to fraction form
    11.84/16.33 = 9.89/x
  3. Step 3: Cross multiply
    11.84x = 16.33 × 9.89
  4. Step 4: Simplify right side
    11.84x = 161.52
  5. Step 5: Solve for x
    x = 161.52/11.84
  6. Step 6: Final answer
    x = 13.64

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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.