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Finding the Fourth Proportional to 111.64, 167.14 and 82.66

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Solution

The fourth proportional to 111.64, 167.14 and 82.66 is: 123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.64 : 167.14 = 82.66 : x
  2. Step 2: Convert to fraction form
    111.64/167.14 = 82.66/x
  3. Step 3: Cross multiply
    111.64x = 167.14 × 82.66
  4. Step 4: Simplify right side
    111.64x = 13,815.79
  5. Step 5: Solve for x
    x = 13,815.79/111.64
  6. Step 6: Final answer
    x = 123.75

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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.