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Finding the Fourth Proportional to 13.14, 18.14 and 8.30

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Solution

The fourth proportional to 13.14, 18.14 and 8.30 is: 11.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.14 : 18.14 = 8.30 : x
  2. Step 2: Convert to fraction form
    13.14/18.14 = 8.30/x
  3. Step 3: Cross multiply
    13.14x = 18.14 × 8.30
  4. Step 4: Simplify right side
    13.14x = 150.57
  5. Step 5: Solve for x
    x = 150.57/13.14
  6. Step 6: Final answer
    x = 11.46

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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.