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Finding the Fourth Proportional to 163.54, 244.91 and 114.83

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Solution

The fourth proportional to 163.54, 244.91 and 114.83 is: 171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.54 : 244.91 = 114.83 : x
  2. Step 2: Convert to fraction form
    163.54/244.91 = 114.83/x
  3. Step 3: Cross multiply
    163.54x = 244.91 × 114.83
  4. Step 4: Simplify right side
    163.54x = 28,122.44
  5. Step 5: Solve for x
    x = 28,122.44/163.54
  6. Step 6: Final answer
    x = 171.97

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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.