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Finding the Fourth Proportional to 13.20, 19.78 and 9.63

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Solution

The fourth proportional to 13.20, 19.78 and 9.63 is: 14.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.20 : 19.78 = 9.63 : x
  2. Step 2: Convert to fraction form
    13.20/19.78 = 9.63/x
  3. Step 3: Cross multiply
    13.20x = 19.78 × 9.63
  4. Step 4: Simplify right side
    13.20x = 190.48
  5. Step 5: Solve for x
    x = 190.48/13.20
  6. Step 6: Final answer
    x = 14.43

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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.