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Finding the Fourth Proportional to 81.18, 121 and 77.12

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Solution

The fourth proportional to 81.18, 121 and 77.12 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.18 : 121 = 77.12 : x
  2. Step 2: Convert to fraction form
    81.18/121 = 77.12/x
  3. Step 3: Cross multiply
    81.18x = 121 × 77.12
  4. Step 4: Simplify right side
    81.18x = 9,331.52
  5. Step 5: Solve for x
    x = 9,331.52/81.18
  6. Step 6: Final answer
    x = 114.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.