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Finding the Fourth Proportional to 97.45, 146.19 and 77.20

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Solution

The fourth proportional to 97.45, 146.19 and 77.20 is: 115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.45 : 146.19 = 77.20 : x
  2. Step 2: Convert to fraction form
    97.45/146.19 = 77.20/x
  3. Step 3: Cross multiply
    97.45x = 146.19 × 77.20
  4. Step 4: Simplify right side
    97.45x = 11,285.87
  5. Step 5: Solve for x
    x = 11,285.87/97.45
  6. Step 6: Final answer
    x = 115.81

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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.