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Finding the Fourth Proportional to 97.65, 134.46 and 75.69

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Solution

The fourth proportional to 97.65, 134.46 and 75.69 is: 104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.65 : 134.46 = 75.69 : x
  2. Step 2: Convert to fraction form
    97.65/134.46 = 75.69/x
  3. Step 3: Cross multiply
    97.65x = 134.46 × 75.69
  4. Step 4: Simplify right side
    97.65x = 10,177.28
  5. Step 5: Solve for x
    x = 10,177.28/97.65
  6. Step 6: Final answer
    x = 104.22

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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.