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Finding the Fourth Proportional to 74.74, 103.17 and 49.84

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Solution

The fourth proportional to 74.74, 103.17 and 49.84 is: 68.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.74 : 103.17 = 49.84 : x
  2. Step 2: Convert to fraction form
    74.74/103.17 = 49.84/x
  3. Step 3: Cross multiply
    74.74x = 103.17 × 49.84
  4. Step 4: Simplify right side
    74.74x = 5,141.99
  5. Step 5: Solve for x
    x = 5,141.99/74.74
  6. Step 6: Final answer
    x = 68.80

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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.