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Finding the Fourth Proportional to 167.97, 252.06 and 76.64

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Solution

The fourth proportional to 167.97, 252.06 and 76.64 is: 115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.97 : 252.06 = 76.64 : x
  2. Step 2: Convert to fraction form
    167.97/252.06 = 76.64/x
  3. Step 3: Cross multiply
    167.97x = 252.06 × 76.64
  4. Step 4: Simplify right side
    167.97x = 19,317.50
  5. Step 5: Solve for x
    x = 19,317.50/167.97
  6. Step 6: Final answer
    x = 115.01

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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.