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Finding the Fourth Proportional to 114.73, 171.77 and 82.11

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Solution

The fourth proportional to 114.73, 171.77 and 82.11 is: 122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.73 : 171.77 = 82.11 : x
  2. Step 2: Convert to fraction form
    114.73/171.77 = 82.11/x
  3. Step 3: Cross multiply
    114.73x = 171.77 × 82.11
  4. Step 4: Simplify right side
    114.73x = 14,104.73
  5. Step 5: Solve for x
    x = 14,104.73/114.73
  6. Step 6: Final answer
    x = 122.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.