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Finding the Fourth Proportional to 112.25, 168.68 and 66.62

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Solution

The fourth proportional to 112.25, 168.68 and 66.62 is: 100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.25 : 168.68 = 66.62 : x
  2. Step 2: Convert to fraction form
    112.25/168.68 = 66.62/x
  3. Step 3: Cross multiply
    112.25x = 168.68 × 66.62
  4. Step 4: Simplify right side
    112.25x = 11,238.05
  5. Step 5: Solve for x
    x = 11,238.05/112.25
  6. Step 6: Final answer
    x = 100.11

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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.