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Finding the Fourth Proportional to 96.97, 133.81 and 69.40

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Solution

The fourth proportional to 96.97, 133.81 and 69.40 is: 95.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.97 : 133.81 = 69.40 : x
  2. Step 2: Convert to fraction form
    96.97/133.81 = 69.40/x
  3. Step 3: Cross multiply
    96.97x = 133.81 × 69.40
  4. Step 4: Simplify right side
    96.97x = 9,286.41
  5. Step 5: Solve for x
    x = 9,286.41/96.97
  6. Step 6: Final answer
    x = 95.77

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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.