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Finding the Fourth Proportional to 13.14, 19.65 and 8.83

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Solution

The fourth proportional to 13.14, 19.65 and 8.83 is: 13.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.14 : 19.65 = 8.83 : x
  2. Step 2: Convert to fraction form
    13.14/19.65 = 8.83/x
  3. Step 3: Cross multiply
    13.14x = 19.65 × 8.83
  4. Step 4: Simplify right side
    13.14x = 173.51
  5. Step 5: Solve for x
    x = 173.51/13.14
  6. Step 6: Final answer
    x = 13.20

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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.