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Finding the Fourth Proportional to 108.64, 163.16 and 85.96

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Solution

The fourth proportional to 108.64, 163.16 and 85.96 is: 129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.64 : 163.16 = 85.96 : x
  2. Step 2: Convert to fraction form
    108.64/163.16 = 85.96/x
  3. Step 3: Cross multiply
    108.64x = 163.16 × 85.96
  4. Step 4: Simplify right side
    108.64x = 14,023.99
  5. Step 5: Solve for x
    x = 14,023.99/108.64
  6. Step 6: Final answer
    x = 129.09

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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.