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Finding the Fourth Proportional to 61.82, 92.72 and 41.48

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Solution

The fourth proportional to 61.82, 92.72 and 41.48 is: 62.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.82 : 92.72 = 41.48 : x
  2. Step 2: Convert to fraction form
    61.82/92.72 = 41.48/x
  3. Step 3: Cross multiply
    61.82x = 92.72 × 41.48
  4. Step 4: Simplify right side
    61.82x = 3,846.03
  5. Step 5: Solve for x
    x = 3,846.03/61.82
  6. Step 6: Final answer
    x = 62.21

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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.