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Finding the Fourth Proportional to 163.52, 244.92 and 105.77

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Solution

The fourth proportional to 163.52, 244.92 and 105.77 is: 158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.52 : 244.92 = 105.77 : x
  2. Step 2: Convert to fraction form
    163.52/244.92 = 105.77/x
  3. Step 3: Cross multiply
    163.52x = 244.92 × 105.77
  4. Step 4: Simplify right side
    163.52x = 25,905.19
  5. Step 5: Solve for x
    x = 25,905.19/163.52
  6. Step 6: Final answer
    x = 158.42

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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.