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Finding the Fourth Proportional to 41.67, 62.28 and 30.86

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Solution

The fourth proportional to 41.67, 62.28 and 30.86 is: 46.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.67 : 62.28 = 30.86 : x
  2. Step 2: Convert to fraction form
    41.67/62.28 = 30.86/x
  3. Step 3: Cross multiply
    41.67x = 62.28 × 30.86
  4. Step 4: Simplify right side
    41.67x = 1,921.81
  5. Step 5: Solve for x
    x = 1,921.81/41.67
  6. Step 6: Final answer
    x = 46.12

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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.