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Finding the Fourth Proportional to 108.09, 149.04 and 76.97

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Solution

The fourth proportional to 108.09, 149.04 and 76.97 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 149.04 = 76.97 : x
  2. Step 2: Convert to fraction form
    108.09/149.04 = 76.97/x
  3. Step 3: Cross multiply
    108.09x = 149.04 × 76.97
  4. Step 4: Simplify right side
    108.09x = 11,471.98
  5. Step 5: Solve for x
    x = 11,471.98/108.09
  6. Step 6: Final answer
    x = 106.13

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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.