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Finding the Fourth Proportional to 163.30, 245.09 and 76.73

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Solution

The fourth proportional to 163.30, 245.09 and 76.73 is: 115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.30 : 245.09 = 76.73 : x
  2. Step 2: Convert to fraction form
    163.30/245.09 = 76.73/x
  3. Step 3: Cross multiply
    163.30x = 245.09 × 76.73
  4. Step 4: Simplify right side
    163.30x = 18,805.76
  5. Step 5: Solve for x
    x = 18,805.76/163.30
  6. Step 6: Final answer
    x = 115.16

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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.