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Finding the Fourth Proportional to 108.96, 163.08 and 105.12

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Solution

The fourth proportional to 108.96, 163.08 and 105.12 is: 157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.96 : 163.08 = 105.12 : x
  2. Step 2: Convert to fraction form
    108.96/163.08 = 105.12/x
  3. Step 3: Cross multiply
    108.96x = 163.08 × 105.12
  4. Step 4: Simplify right side
    108.96x = 17,142.97
  5. Step 5: Solve for x
    x = 17,142.97/108.96
  6. Step 6: Final answer
    x = 157.33

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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.