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Finding the Fourth Proportional to 97.22, 134.07 and 69.59

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Solution

The fourth proportional to 97.22, 134.07 and 69.59 is: 95.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.22 : 134.07 = 69.59 : x
  2. Step 2: Convert to fraction form
    97.22/134.07 = 69.59/x
  3. Step 3: Cross multiply
    97.22x = 134.07 × 69.59
  4. Step 4: Simplify right side
    97.22x = 9,329.93
  5. Step 5: Solve for x
    x = 9,329.93/97.22
  6. Step 6: Final answer
    x = 95.97

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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.