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Finding the Fourth Proportional to 13.50, 20.36 and 12.63

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Solution

The fourth proportional to 13.50, 20.36 and 12.63 is: 19.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 20.36 = 12.63 : x
  2. Step 2: Convert to fraction form
    13.50/20.36 = 12.63/x
  3. Step 3: Cross multiply
    13.50x = 20.36 × 12.63
  4. Step 4: Simplify right side
    13.50x = 257.13
  5. Step 5: Solve for x
    x = 257.13/13.50
  6. Step 6: Final answer
    x = 19.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.