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Finding the Fourth Proportional to 97.26, 134.38 and 75.54

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Solution

The fourth proportional to 97.26, 134.38 and 75.54 is: 104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.26 : 134.38 = 75.54 : x
  2. Step 2: Convert to fraction form
    97.26/134.38 = 75.54/x
  3. Step 3: Cross multiply
    97.26x = 134.38 × 75.54
  4. Step 4: Simplify right side
    97.26x = 10,151.07
  5. Step 5: Solve for x
    x = 10,151.07/97.26
  6. Step 6: Final answer
    x = 104.37

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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.