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Finding the Fourth Proportional to 69.75, 105.16 and 66

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Solution

The fourth proportional to 69.75, 105.16 and 66 is: 99.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 105.16 = 66 : x
  2. Step 2: Convert to fraction form
    69.75/105.16 = 66/x
  3. Step 3: Cross multiply
    69.75x = 105.16 × 66
  4. Step 4: Simplify right side
    69.75x = 6,940.56
  5. Step 5: Solve for x
    x = 6,940.56/69.75
  6. Step 6: Final answer
    x = 99.51

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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.