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Finding the Fourth Proportional to 81.37, 112.24 and 51.81

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Solution

The fourth proportional to 81.37, 112.24 and 51.81 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.37 : 112.24 = 51.81 : x
  2. Step 2: Convert to fraction form
    81.37/112.24 = 51.81/x
  3. Step 3: Cross multiply
    81.37x = 112.24 × 51.81
  4. Step 4: Simplify right side
    81.37x = 5,815.15
  5. Step 5: Solve for x
    x = 5,815.15/81.37
  6. Step 6: Final answer
    x = 71.47

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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.