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Finding the Fourth Proportional to 13.64, 20.46 and 6.41

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Solution

The fourth proportional to 13.64, 20.46 and 6.41 is: 9.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.64 : 20.46 = 6.41 : x
  2. Step 2: Convert to fraction form
    13.64/20.46 = 6.41/x
  3. Step 3: Cross multiply
    13.64x = 20.46 × 6.41
  4. Step 4: Simplify right side
    13.64x = 131.05
  5. Step 5: Solve for x
    x = 131.05/13.64
  6. Step 6: Final answer
    x = 9.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.