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Finding the Fourth Proportional to 163.96, 245.60 and 106.24

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Solution

The fourth proportional to 163.96, 245.60 and 106.24 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 245.60 = 106.24 : x
  2. Step 2: Convert to fraction form
    163.96/245.60 = 106.24/x
  3. Step 3: Cross multiply
    163.96x = 245.60 × 106.24
  4. Step 4: Simplify right side
    163.96x = 26,092.54
  5. Step 5: Solve for x
    x = 26,092.54/163.96
  6. Step 6: Final answer
    x = 159.14

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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.