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Finding the Fourth Proportional to 108.11, 149.15 and 97.71

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Solution

The fourth proportional to 108.11, 149.15 and 97.71 is: 134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.11 : 149.15 = 97.71 : x
  2. Step 2: Convert to fraction form
    108.11/149.15 = 97.71/x
  3. Step 3: Cross multiply
    108.11x = 149.15 × 97.71
  4. Step 4: Simplify right side
    108.11x = 14,573.69
  5. Step 5: Solve for x
    x = 14,573.69/108.11
  6. Step 6: Final answer
    x = 134.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.