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Finding the Fourth Proportional to 97.75, 146.33 and 75.19

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Solution

The fourth proportional to 97.75, 146.33 and 75.19 is: 112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.75 : 146.33 = 75.19 : x
  2. Step 2: Convert to fraction form
    97.75/146.33 = 75.19/x
  3. Step 3: Cross multiply
    97.75x = 146.33 × 75.19
  4. Step 4: Simplify right side
    97.75x = 11,002.37
  5. Step 5: Solve for x
    x = 11,002.37/97.75
  6. Step 6: Final answer
    x = 112.56

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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.