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Finding the Fourth Proportional to 108.88, 150.31 and 82.96

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Solution

The fourth proportional to 108.88, 150.31 and 82.96 is: 114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.88 : 150.31 = 82.96 : x
  2. Step 2: Convert to fraction form
    108.88/150.31 = 82.96/x
  3. Step 3: Cross multiply
    108.88x = 150.31 × 82.96
  4. Step 4: Simplify right side
    108.88x = 12,469.72
  5. Step 5: Solve for x
    x = 12,469.72/108.88
  6. Step 6: Final answer
    x = 114.53

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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.