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Finding the Fourth Proportional to 108.28, 149.43 and 82

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Solution

The fourth proportional to 108.28, 149.43 and 82 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.28 : 149.43 = 82 : x
  2. Step 2: Convert to fraction form
    108.28/149.43 = 82/x
  3. Step 3: Cross multiply
    108.28x = 149.43 × 82
  4. Step 4: Simplify right side
    108.28x = 12,253.26
  5. Step 5: Solve for x
    x = 12,253.26/108.28
  6. Step 6: Final answer
    x = 113.16

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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.