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Finding the Fourth Proportional to 112.00, 167.84 and 68.56

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Solution

The fourth proportional to 112.00, 167.84 and 68.56 is: 102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.00 : 167.84 = 68.56 : x
  2. Step 2: Convert to fraction form
    112.00/167.84 = 68.56/x
  3. Step 3: Cross multiply
    112.00x = 167.84 × 68.56
  4. Step 4: Simplify right side
    112.00x = 11,507.55
  5. Step 5: Solve for x
    x = 11,507.55/112.00
  6. Step 6: Final answer
    x = 102.75

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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.