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Finding the Fourth Proportional to 81.69, 112.74 and 44.85

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Solution

The fourth proportional to 81.69, 112.74 and 44.85 is: 61.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.69 : 112.74 = 44.85 : x
  2. Step 2: Convert to fraction form
    81.69/112.74 = 44.85/x
  3. Step 3: Cross multiply
    81.69x = 112.74 × 44.85
  4. Step 4: Simplify right side
    81.69x = 5,056.24
  5. Step 5: Solve for x
    x = 5,056.24/81.69
  6. Step 6: Final answer
    x = 61.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.