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Finding the Fourth Proportional to 49.92, 74.96 and 40.82

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Solution

The fourth proportional to 49.92, 74.96 and 40.82 is: 61.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.92 : 74.96 = 40.82 : x
  2. Step 2: Convert to fraction form
    49.92/74.96 = 40.82/x
  3. Step 3: Cross multiply
    49.92x = 74.96 × 40.82
  4. Step 4: Simplify right side
    49.92x = 3,059.29
  5. Step 5: Solve for x
    x = 3,059.29/49.92
  6. Step 6: Final answer
    x = 61.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.