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Finding the Fourth Proportional to 108.18, 149.24 and 68.82

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Solution

The fourth proportional to 108.18, 149.24 and 68.82 is: 94.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.18 : 149.24 = 68.82 : x
  2. Step 2: Convert to fraction form
    108.18/149.24 = 68.82/x
  3. Step 3: Cross multiply
    108.18x = 149.24 × 68.82
  4. Step 4: Simplify right side
    108.18x = 10,270.31
  5. Step 5: Solve for x
    x = 10,270.31/108.18
  6. Step 6: Final answer
    x = 94.94

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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.