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Finding the Fourth Proportional to 111.14, 166.75 and 82.63

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Solution

The fourth proportional to 111.14, 166.75 and 82.63 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.14 : 166.75 = 82.63 : x
  2. Step 2: Convert to fraction form
    111.14/166.75 = 82.63/x
  3. Step 3: Cross multiply
    111.14x = 166.75 × 82.63
  4. Step 4: Simplify right side
    111.14x = 13,777.93
  5. Step 5: Solve for x
    x = 13,777.93/111.14
  6. Step 6: Final answer
    x = 123.97

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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.