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Finding the Fourth Proportional to 85.06, 116.93 and 80.20

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Solution

The fourth proportional to 85.06, 116.93 and 80.20 is: 110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.06 : 116.93 = 80.20 : x
  2. Step 2: Convert to fraction form
    85.06/116.93 = 80.20/x
  3. Step 3: Cross multiply
    85.06x = 116.93 × 80.20
  4. Step 4: Simplify right side
    85.06x = 9,377.79
  5. Step 5: Solve for x
    x = 9,377.79/85.06
  6. Step 6: Final answer
    x = 110.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.