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Finding the Fourth Proportional to 49.75, 74.53 and 41.57

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Solution

The fourth proportional to 49.75, 74.53 and 41.57 is: 62.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.75 : 74.53 = 41.57 : x
  2. Step 2: Convert to fraction form
    49.75/74.53 = 41.57/x
  3. Step 3: Cross multiply
    49.75x = 74.53 × 41.57
  4. Step 4: Simplify right side
    49.75x = 3,098.29
  5. Step 5: Solve for x
    x = 3,098.29/49.75
  6. Step 6: Final answer
    x = 62.28

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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.