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Finding the Fourth Proportional to 85.43, 117.82 and 66.97

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Solution

The fourth proportional to 85.43, 117.82 and 66.97 is: 92.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.43 : 117.82 = 66.97 : x
  2. Step 2: Convert to fraction form
    85.43/117.82 = 66.97/x
  3. Step 3: Cross multiply
    85.43x = 117.82 × 66.97
  4. Step 4: Simplify right side
    85.43x = 7,890.11
  5. Step 5: Solve for x
    x = 7,890.11/85.43
  6. Step 6: Final answer
    x = 92.36

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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.