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Finding the Fourth Proportional to 13, 17.84 and 11.64

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Solution

The fourth proportional to 13, 17.84 and 11.64 is: 15.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 17.84 = 11.64 : x
  2. Step 2: Convert to fraction form
    13/17.84 = 11.64/x
  3. Step 3: Cross multiply
    13x = 17.84 × 11.64
  4. Step 4: Simplify right side
    13x = 207.66
  5. Step 5: Solve for x
    x = 207.66/13
  6. Step 6: Final answer
    x = 15.97

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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.