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Finding the Fourth Proportional to 120.79, 166.71 and 82

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Solution

The fourth proportional to 120.79, 166.71 and 82 is: 113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.79 : 166.71 = 82 : x
  2. Step 2: Convert to fraction form
    120.79/166.71 = 82/x
  3. Step 3: Cross multiply
    120.79x = 166.71 × 82
  4. Step 4: Simplify right side
    120.79x = 13,670.22
  5. Step 5: Solve for x
    x = 13,670.22/120.79
  6. Step 6: Final answer
    x = 113.17

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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.