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Finding the Fourth Proportional to 108.54, 149.68 and 77.43

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Solution

The fourth proportional to 108.54, 149.68 and 77.43 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.54 : 149.68 = 77.43 : x
  2. Step 2: Convert to fraction form
    108.54/149.68 = 77.43/x
  3. Step 3: Cross multiply
    108.54x = 149.68 × 77.43
  4. Step 4: Simplify right side
    108.54x = 11,589.72
  5. Step 5: Solve for x
    x = 11,589.72/108.54
  6. Step 6: Final answer
    x = 106.78

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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.