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Finding the Fourth Proportional to 41.05, 61.79 and 29.71

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Solution

The fourth proportional to 41.05, 61.79 and 29.71 is: 44.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.05 : 61.79 = 29.71 : x
  2. Step 2: Convert to fraction form
    41.05/61.79 = 29.71/x
  3. Step 3: Cross multiply
    41.05x = 61.79 × 29.71
  4. Step 4: Simplify right side
    41.05x = 1,835.70
  5. Step 5: Solve for x
    x = 1,835.70/41.05
  6. Step 6: Final answer
    x = 44.72

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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.