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Finding the Fourth Proportional to 13.49, 18.62 and 8.64

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Solution

The fourth proportional to 13.49, 18.62 and 8.64 is: 11.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.49 : 18.62 = 8.64 : x
  2. Step 2: Convert to fraction form
    13.49/18.62 = 8.64/x
  3. Step 3: Cross multiply
    13.49x = 18.62 × 8.64
  4. Step 4: Simplify right side
    13.49x = 160.83
  5. Step 5: Solve for x
    x = 160.83/13.49
  6. Step 6: Final answer
    x = 11.93

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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.