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Finding the Fourth Proportional to 11.68, 16.13 and 9.64

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Solution

The fourth proportional to 11.68, 16.13 and 9.64 is: 13.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.68 : 16.13 = 9.64 : x
  2. Step 2: Convert to fraction form
    11.68/16.13 = 9.64/x
  3. Step 3: Cross multiply
    11.68x = 16.13 × 9.64
  4. Step 4: Simplify right side
    11.68x = 155.49
  5. Step 5: Solve for x
    x = 155.49/11.68
  6. Step 6: Final answer
    x = 13.31

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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.