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Finding the Fourth Proportional to 108.05, 161.60 and 82.08

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Solution

The fourth proportional to 108.05, 161.60 and 82.08 is: 122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.05 : 161.60 = 82.08 : x
  2. Step 2: Convert to fraction form
    108.05/161.60 = 82.08/x
  3. Step 3: Cross multiply
    108.05x = 161.60 × 82.08
  4. Step 4: Simplify right side
    108.05x = 13,264.13
  5. Step 5: Solve for x
    x = 13,264.13/108.05
  6. Step 6: Final answer
    x = 122.76

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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.