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Finding the Fourth Proportional to 112.89, 169.36 and 35.85

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Solution

The fourth proportional to 112.89, 169.36 and 35.85 is: 53.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.89 : 169.36 = 35.85 : x
  2. Step 2: Convert to fraction form
    112.89/169.36 = 35.85/x
  3. Step 3: Cross multiply
    112.89x = 169.36 × 35.85
  4. Step 4: Simplify right side
    112.89x = 6,071.56
  5. Step 5: Solve for x
    x = 6,071.56/112.89
  6. Step 6: Final answer
    x = 53.78

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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.