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Finding the Fourth Proportional to 85.43, 117.98 and 66.98

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Solution

The fourth proportional to 85.43, 117.98 and 66.98 is: 92.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.43 : 117.98 = 66.98 : x
  2. Step 2: Convert to fraction form
    85.43/117.98 = 66.98/x
  3. Step 3: Cross multiply
    85.43x = 117.98 × 66.98
  4. Step 4: Simplify right side
    85.43x = 7,902.30
  5. Step 5: Solve for x
    x = 7,902.30/85.43
  6. Step 6: Final answer
    x = 92.50

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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.