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Finding the Fourth Proportional to 81.94, 112.86 and 66.44

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Solution

The fourth proportional to 81.94, 112.86 and 66.44 is: 91.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.94 : 112.86 = 66.44 : x
  2. Step 2: Convert to fraction form
    81.94/112.86 = 66.44/x
  3. Step 3: Cross multiply
    81.94x = 112.86 × 66.44
  4. Step 4: Simplify right side
    81.94x = 7,498.70
  5. Step 5: Solve for x
    x = 7,498.70/81.94
  6. Step 6: Final answer
    x = 91.52

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