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Finding the Fourth Proportional to 97.75, 146.69 and 40.75

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Solution

The fourth proportional to 97.75, 146.69 and 40.75 is: 61.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.75 : 146.69 = 40.75 : x
  2. Step 2: Convert to fraction form
    97.75/146.69 = 40.75/x
  3. Step 3: Cross multiply
    97.75x = 146.69 × 40.75
  4. Step 4: Simplify right side
    97.75x = 5,977.62
  5. Step 5: Solve for x
    x = 5,977.62/97.75
  6. Step 6: Final answer
    x = 61.15

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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.