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Finding the Fourth Proportional to 97.91, 146.91 and 69.07

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Solution

The fourth proportional to 97.91, 146.91 and 69.07 is: 103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.91 : 146.91 = 69.07 : x
  2. Step 2: Convert to fraction form
    97.91/146.91 = 69.07/x
  3. Step 3: Cross multiply
    97.91x = 146.91 × 69.07
  4. Step 4: Simplify right side
    97.91x = 10,147.07
  5. Step 5: Solve for x
    x = 10,147.07/97.91
  6. Step 6: Final answer
    x = 103.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.