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Finding the Fourth Proportional to 62.33, 85.97 and 41.63

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Solution

The fourth proportional to 62.33, 85.97 and 41.63 is: 57.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.33 : 85.97 = 41.63 : x
  2. Step 2: Convert to fraction form
    62.33/85.97 = 41.63/x
  3. Step 3: Cross multiply
    62.33x = 85.97 × 41.63
  4. Step 4: Simplify right side
    62.33x = 3,578.93
  5. Step 5: Solve for x
    x = 3,578.93/62.33
  6. Step 6: Final answer
    x = 57.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.