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Finding the Fourth Proportional to 81.96, 112.94 and 73.22

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Solution

The fourth proportional to 81.96, 112.94 and 73.22 is: 100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.96 : 112.94 = 73.22 : x
  2. Step 2: Convert to fraction form
    81.96/112.94 = 73.22/x
  3. Step 3: Cross multiply
    81.96x = 112.94 × 73.22
  4. Step 4: Simplify right side
    81.96x = 8,269.47
  5. Step 5: Solve for x
    x = 8,269.47/81.96
  6. Step 6: Final answer
    x = 100.90

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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.