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Finding the Fourth Proportional to 146.32, 201.93 and 80.83

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Solution

The fourth proportional to 146.32, 201.93 and 80.83 is: 111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.32 : 201.93 = 80.83 : x
  2. Step 2: Convert to fraction form
    146.32/201.93 = 80.83/x
  3. Step 3: Cross multiply
    146.32x = 201.93 × 80.83
  4. Step 4: Simplify right side
    146.32x = 16,321.95
  5. Step 5: Solve for x
    x = 16,321.95/146.32
  6. Step 6: Final answer
    x = 111.55

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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.