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Finding the Fourth Proportional to 97.44, 134.66 and 68.05

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Solution

The fourth proportional to 97.44, 134.66 and 68.05 is: 94.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.44 : 134.66 = 68.05 : x
  2. Step 2: Convert to fraction form
    97.44/134.66 = 68.05/x
  3. Step 3: Cross multiply
    97.44x = 134.66 × 68.05
  4. Step 4: Simplify right side
    97.44x = 9,163.57
  5. Step 5: Solve for x
    x = 9,163.57/97.44
  6. Step 6: Final answer
    x = 94.05

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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.