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Finding the Fourth Proportional to 13.46, 20.08 and 13.22

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Solution

The fourth proportional to 13.46, 20.08 and 13.22 is: 19.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.46 : 20.08 = 13.22 : x
  2. Step 2: Convert to fraction form
    13.46/20.08 = 13.22/x
  3. Step 3: Cross multiply
    13.46x = 20.08 × 13.22
  4. Step 4: Simplify right side
    13.46x = 265.46
  5. Step 5: Solve for x
    x = 265.46/13.46
  6. Step 6: Final answer
    x = 19.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.