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Finding the Fourth Proportional to 203.75, 305.34 and 81.87

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Solution

The fourth proportional to 203.75, 305.34 and 81.87 is: 122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.75 : 305.34 = 81.87 : x
  2. Step 2: Convert to fraction form
    203.75/305.34 = 81.87/x
  3. Step 3: Cross multiply
    203.75x = 305.34 × 81.87
  4. Step 4: Simplify right side
    203.75x = 24,998.45
  5. Step 5: Solve for x
    x = 24,998.45/203.75
  6. Step 6: Final answer
    x = 122.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.