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Finding the Fourth Proportional to 80.41, 111.05 and 64.25

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Solution

The fourth proportional to 80.41, 111.05 and 64.25 is: 88.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.41 : 111.05 = 64.25 : x
  2. Step 2: Convert to fraction form
    80.41/111.05 = 64.25/x
  3. Step 3: Cross multiply
    80.41x = 111.05 × 64.25
  4. Step 4: Simplify right side
    80.41x = 7,134.96
  5. Step 5: Solve for x
    x = 7,134.96/80.41
  6. Step 6: Final answer
    x = 88.73

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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.