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Finding the Fourth Proportional to 97.41, 134.33 and 83.64

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Solution

The fourth proportional to 97.41, 134.33 and 83.64 is: 115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.41 : 134.33 = 83.64 : x
  2. Step 2: Convert to fraction form
    97.41/134.33 = 83.64/x
  3. Step 3: Cross multiply
    97.41x = 134.33 × 83.64
  4. Step 4: Simplify right side
    97.41x = 11,234.94
  5. Step 5: Solve for x
    x = 11,234.94/97.41
  6. Step 6: Final answer
    x = 115.34

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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.