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Finding the Fourth Proportional to 146.91, 202.75 and 81.42

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Solution

The fourth proportional to 146.91, 202.75 and 81.42 is: 112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.91 : 202.75 = 81.42 : x
  2. Step 2: Convert to fraction form
    146.91/202.75 = 81.42/x
  3. Step 3: Cross multiply
    146.91x = 202.75 × 81.42
  4. Step 4: Simplify right side
    146.91x = 16,508.54
  5. Step 5: Solve for x
    x = 16,508.54/146.91
  6. Step 6: Final answer
    x = 112.37

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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.