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Finding the Fourth Proportional to 81.44, 112.37 and 51.95

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Solution

The fourth proportional to 81.44, 112.37 and 51.95 is: 71.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.44 : 112.37 = 51.95 : x
  2. Step 2: Convert to fraction form
    81.44/112.37 = 51.95/x
  3. Step 3: Cross multiply
    81.44x = 112.37 × 51.95
  4. Step 4: Simplify right side
    81.44x = 5,837.62
  5. Step 5: Solve for x
    x = 5,837.62/81.44
  6. Step 6: Final answer
    x = 71.68

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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.