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Finding the Fourth Proportional to 112.29, 168.75 and 66.66

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Solution

The fourth proportional to 112.29, 168.75 and 66.66 is: 100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.29 : 168.75 = 66.66 : x
  2. Step 2: Convert to fraction form
    112.29/168.75 = 66.66/x
  3. Step 3: Cross multiply
    112.29x = 168.75 × 66.66
  4. Step 4: Simplify right side
    112.29x = 11,248.88
  5. Step 5: Solve for x
    x = 11,248.88/112.29
  6. Step 6: Final answer
    x = 100.18

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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.