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Finding the Fourth Proportional to 69.68, 103.78 and 66

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Solution

The fourth proportional to 69.68, 103.78 and 66 is: 98.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.68 : 103.78 = 66 : x
  2. Step 2: Convert to fraction form
    69.68/103.78 = 66/x
  3. Step 3: Cross multiply
    69.68x = 103.78 × 66
  4. Step 4: Simplify right side
    69.68x = 6,849.48
  5. Step 5: Solve for x
    x = 6,849.48/69.68
  6. Step 6: Final answer
    x = 98.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.