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Finding the Fourth Proportional to 69.76, 105.05 and 60.85

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Solution

The fourth proportional to 69.76, 105.05 and 60.85 is: 91.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.76 : 105.05 = 60.85 : x
  2. Step 2: Convert to fraction form
    69.76/105.05 = 60.85/x
  3. Step 3: Cross multiply
    69.76x = 105.05 × 60.85
  4. Step 4: Simplify right side
    69.76x = 6,392.29
  5. Step 5: Solve for x
    x = 6,392.29/69.76
  6. Step 6: Final answer
    x = 91.63

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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.