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Finding the Fourth Proportional to 69.32, 104.42 and 66.49

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Solution

The fourth proportional to 69.32, 104.42 and 66.49 is: 100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.32 : 104.42 = 66.49 : x
  2. Step 2: Convert to fraction form
    69.32/104.42 = 66.49/x
  3. Step 3: Cross multiply
    69.32x = 104.42 × 66.49
  4. Step 4: Simplify right side
    69.32x = 6,942.79
  5. Step 5: Solve for x
    x = 6,942.79/69.32
  6. Step 6: Final answer
    x = 100.15

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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.