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Finding the Fourth Proportional to 146.07, 201.58 and 83.94

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Solution

The fourth proportional to 146.07, 201.58 and 83.94 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.07 : 201.58 = 83.94 : x
  2. Step 2: Convert to fraction form
    146.07/201.58 = 83.94/x
  3. Step 3: Cross multiply
    146.07x = 201.58 × 83.94
  4. Step 4: Simplify right side
    146.07x = 16,919.20
  5. Step 5: Solve for x
    x = 16,919.20/146.07
  6. Step 6: Final answer
    x = 115.83

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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.