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Finding the Fourth Proportional to 163.89, 245.82 and 77.24

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Solution

The fourth proportional to 163.89, 245.82 and 77.24 is: 115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.89 : 245.82 = 77.24 : x
  2. Step 2: Convert to fraction form
    163.89/245.82 = 77.24/x
  3. Step 3: Cross multiply
    163.89x = 245.82 × 77.24
  4. Step 4: Simplify right side
    163.89x = 18,987.75
  5. Step 5: Solve for x
    x = 18,987.75/163.89
  6. Step 6: Final answer
    x = 115.86

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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.