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Finding the Fourth Proportional to 108.76, 163.12 and 105.87

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Solution

The fourth proportional to 108.76, 163.12 and 105.87 is: 158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.76 : 163.12 = 105.87 : x
  2. Step 2: Convert to fraction form
    108.76/163.12 = 105.87/x
  3. Step 3: Cross multiply
    108.76x = 163.12 × 105.87
  4. Step 4: Simplify right side
    108.76x = 17,269.51
  5. Step 5: Solve for x
    x = 17,269.51/108.76
  6. Step 6: Final answer
    x = 158.79

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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.