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Finding the Fourth Proportional to 69.69, 96.20 and 51.27

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Solution

The fourth proportional to 69.69, 96.20 and 51.27 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.69 : 96.20 = 51.27 : x
  2. Step 2: Convert to fraction form
    69.69/96.20 = 51.27/x
  3. Step 3: Cross multiply
    69.69x = 96.20 × 51.27
  4. Step 4: Simplify right side
    69.69x = 4,932.17
  5. Step 5: Solve for x
    x = 4,932.17/69.69
  6. Step 6: Final answer
    x = 70.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.