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Finding the Fourth Proportional to 13.20, 18.24 and 10.17

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Solution

The fourth proportional to 13.20, 18.24 and 10.17 is: 14.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.20 : 18.24 = 10.17 : x
  2. Step 2: Convert to fraction form
    13.20/18.24 = 10.17/x
  3. Step 3: Cross multiply
    13.20x = 18.24 × 10.17
  4. Step 4: Simplify right side
    13.20x = 185.41
  5. Step 5: Solve for x
    x = 185.41/13.20
  6. Step 6: Final answer
    x = 14.05

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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.