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Finding the Fourth Proportional to 97.19, 134.13 and 80.79

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Solution

The fourth proportional to 97.19, 134.13 and 80.79 is: 111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.19 : 134.13 = 80.79 : x
  2. Step 2: Convert to fraction form
    97.19/134.13 = 80.79/x
  3. Step 3: Cross multiply
    97.19x = 134.13 × 80.79
  4. Step 4: Simplify right side
    97.19x = 10,836.36
  5. Step 5: Solve for x
    x = 10,836.36/97.19
  6. Step 6: Final answer
    x = 111.50

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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.