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Finding the Fourth Proportional to 163.96, 245.84 and 77.34

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Solution

The fourth proportional to 163.96, 245.84 and 77.34 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 245.84 = 77.34 : x
  2. Step 2: Convert to fraction form
    163.96/245.84 = 77.34/x
  3. Step 3: Cross multiply
    163.96x = 245.84 × 77.34
  4. Step 4: Simplify right side
    163.96x = 19,013.27
  5. Step 5: Solve for x
    x = 19,013.27/163.96
  6. Step 6: Final answer
    x = 115.96

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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.