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Finding the Fourth Proportional to 108.09, 161.82 and 77.46

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Solution

The fourth proportional to 108.09, 161.82 and 77.46 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 161.82 = 77.46 : x
  2. Step 2: Convert to fraction form
    108.09/161.82 = 77.46/x
  3. Step 3: Cross multiply
    108.09x = 161.82 × 77.46
  4. Step 4: Simplify right side
    108.09x = 12,534.58
  5. Step 5: Solve for x
    x = 12,534.58/108.09
  6. Step 6: Final answer
    x = 115.96

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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.