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Finding the Fourth Proportional to 11.63, 16.05 and 9.82

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Solution

The fourth proportional to 11.63, 16.05 and 9.82 is: 13.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.63 : 16.05 = 9.82 : x
  2. Step 2: Convert to fraction form
    11.63/16.05 = 9.82/x
  3. Step 3: Cross multiply
    11.63x = 16.05 × 9.82
  4. Step 4: Simplify right side
    11.63x = 157.61
  5. Step 5: Solve for x
    x = 157.61/11.63
  6. Step 6: Final answer
    x = 13.55

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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.