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Finding the Fourth Proportional to 103.85, 155.83 and 49.74

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Solution

The fourth proportional to 103.85, 155.83 and 49.74 is: 74.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.85 : 155.83 = 49.74 : x
  2. Step 2: Convert to fraction form
    103.85/155.83 = 49.74/x
  3. Step 3: Cross multiply
    103.85x = 155.83 × 49.74
  4. Step 4: Simplify right side
    103.85x = 7,750.46
  5. Step 5: Solve for x
    x = 7,750.46/103.85
  6. Step 6: Final answer
    x = 74.63

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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.