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Finding the Fourth Proportional to 69.76, 105.01 and 49.61

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Solution

The fourth proportional to 69.76, 105.01 and 49.61 is: 74.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.76 : 105.01 = 49.61 : x
  2. Step 2: Convert to fraction form
    69.76/105.01 = 49.61/x
  3. Step 3: Cross multiply
    69.76x = 105.01 × 49.61
  4. Step 4: Simplify right side
    69.76x = 5,209.30
  5. Step 5: Solve for x
    x = 5,209.30/69.76
  6. Step 6: Final answer
    x = 74.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.