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Finding the Fourth Proportional to 74.76, 103.10 and 49.82

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Solution

The fourth proportional to 74.76, 103.10 and 49.82 is: 68.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.76 : 103.10 = 49.82 : x
  2. Step 2: Convert to fraction form
    74.76/103.10 = 49.82/x
  3. Step 3: Cross multiply
    74.76x = 103.10 × 49.82
  4. Step 4: Simplify right side
    74.76x = 5,136.44
  5. Step 5: Solve for x
    x = 5,136.44/74.76
  6. Step 6: Final answer
    x = 68.71

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Why These Related Problems?

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