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Finding the Fourth Proportional to 97.23, 134.15 and 80.83

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Solution

The fourth proportional to 97.23, 134.15 and 80.83 is: 111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.23 : 134.15 = 80.83 : x
  2. Step 2: Convert to fraction form
    97.23/134.15 = 80.83/x
  3. Step 3: Cross multiply
    97.23x = 134.15 × 80.83
  4. Step 4: Simplify right side
    97.23x = 10,843.34
  5. Step 5: Solve for x
    x = 10,843.34/97.23
  6. Step 6: Final answer
    x = 111.52

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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.