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Finding the Fourth Proportional to 120.82, 166.75 and 71.71

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Solution

The fourth proportional to 120.82, 166.75 and 71.71 is: 98.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.82 : 166.75 = 71.71 : x
  2. Step 2: Convert to fraction form
    120.82/166.75 = 71.71/x
  3. Step 3: Cross multiply
    120.82x = 166.75 × 71.71
  4. Step 4: Simplify right side
    120.82x = 11,957.64
  5. Step 5: Solve for x
    x = 11,957.64/120.82
  6. Step 6: Final answer
    x = 98.97

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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.