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Finding the Fourth Proportional to 40.67, 61.12 and 34.05

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Solution

The fourth proportional to 40.67, 61.12 and 34.05 is: 51.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.67 : 61.12 = 34.05 : x
  2. Step 2: Convert to fraction form
    40.67/61.12 = 34.05/x
  3. Step 3: Cross multiply
    40.67x = 61.12 × 34.05
  4. Step 4: Simplify right side
    40.67x = 2,081.14
  5. Step 5: Solve for x
    x = 2,081.14/40.67
  6. Step 6: Final answer
    x = 51.17

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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.