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Finding the Fourth Proportional to 146.54, 202.21 and 81.05

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Solution

The fourth proportional to 146.54, 202.21 and 81.05 is: 111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.54 : 202.21 = 81.05 : x
  2. Step 2: Convert to fraction form
    146.54/202.21 = 81.05/x
  3. Step 3: Cross multiply
    146.54x = 202.21 × 81.05
  4. Step 4: Simplify right side
    146.54x = 16,387.91
  5. Step 5: Solve for x
    x = 16,387.91/146.54
  6. Step 6: Final answer
    x = 111.83

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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.