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Finding the Fourth Proportional to 49.74, 74.64 and 34.54

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Solution

The fourth proportional to 49.74, 74.64 and 34.54 is: 51.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.74 : 74.64 = 34.54 : x
  2. Step 2: Convert to fraction form
    49.74/74.64 = 34.54/x
  3. Step 3: Cross multiply
    49.74x = 74.64 × 34.54
  4. Step 4: Simplify right side
    49.74x = 2,578.07
  5. Step 5: Solve for x
    x = 2,578.07/49.74
  6. Step 6: Final answer
    x = 51.83

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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.