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Finding the Fourth Proportional to 146.09, 201.60 and 83.94

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Solution

The fourth proportional to 146.09, 201.60 and 83.94 is: 115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.09 : 201.60 = 83.94 : x
  2. Step 2: Convert to fraction form
    146.09/201.60 = 83.94/x
  3. Step 3: Cross multiply
    146.09x = 201.60 × 83.94
  4. Step 4: Simplify right side
    146.09x = 16,922.52
  5. Step 5: Solve for x
    x = 16,922.52/146.09
  6. Step 6: Final answer
    x = 115.84

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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.