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Finding the Fourth Proportional to 81.24, 121.94 and 40.70

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Solution

The fourth proportional to 81.24, 121.94 and 40.70 is: 61.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.24 : 121.94 = 40.70 : x
  2. Step 2: Convert to fraction form
    81.24/121.94 = 40.70/x
  3. Step 3: Cross multiply
    81.24x = 121.94 × 40.70
  4. Step 4: Simplify right side
    81.24x = 4,963.21
  5. Step 5: Solve for x
    x = 4,963.21/81.24
  6. Step 6: Final answer
    x = 61.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.