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Finding the Fourth Proportional to 108.41, 161.95 and 97.56

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Solution

The fourth proportional to 108.41, 161.95 and 97.56 is: 145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.41 : 161.95 = 97.56 : x
  2. Step 2: Convert to fraction form
    108.41/161.95 = 97.56/x
  3. Step 3: Cross multiply
    108.41x = 161.95 × 97.56
  4. Step 4: Simplify right side
    108.41x = 15,799.42
  5. Step 5: Solve for x
    x = 15,799.42/108.41
  6. Step 6: Final answer
    x = 145.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.