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Finding the Fourth Proportional to 80.25, 121 and 64.41

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Solution

The fourth proportional to 80.25, 121 and 64.41 is: 97.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.25 : 121 = 64.41 : x
  2. Step 2: Convert to fraction form
    80.25/121 = 64.41/x
  3. Step 3: Cross multiply
    80.25x = 121 × 64.41
  4. Step 4: Simplify right side
    80.25x = 7,793.61
  5. Step 5: Solve for x
    x = 7,793.61/80.25
  6. Step 6: Final answer
    x = 97.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.