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Finding the Fourth Proportional to 112.00, 167.89 and 63.28

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Solution

The fourth proportional to 112.00, 167.89 and 63.28 is: 94.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.00 : 167.89 = 63.28 : x
  2. Step 2: Convert to fraction form
    112.00/167.89 = 63.28/x
  3. Step 3: Cross multiply
    112.00x = 167.89 × 63.28
  4. Step 4: Simplify right side
    112.00x = 10,623.24
  5. Step 5: Solve for x
    x = 10,623.24/112.00
  6. Step 6: Final answer
    x = 94.85

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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.