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Finding the Fourth Proportional to 146.35, 201.97 and 80.86

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Solution

The fourth proportional to 146.35, 201.97 and 80.86 is: 111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.35 : 201.97 = 80.86 : x
  2. Step 2: Convert to fraction form
    146.35/201.97 = 80.86/x
  3. Step 3: Cross multiply
    146.35x = 201.97 × 80.86
  4. Step 4: Simplify right side
    146.35x = 16,329.88
  5. Step 5: Solve for x
    x = 16,329.88/146.35
  6. Step 6: Final answer
    x = 111.58

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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.