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Finding the Fourth Proportional to 203.09, 304.56 and 81.39

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Solution

The fourth proportional to 203.09, 304.56 and 81.39 is: 122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.09 : 304.56 = 81.39 : x
  2. Step 2: Convert to fraction form
    203.09/304.56 = 81.39/x
  3. Step 3: Cross multiply
    203.09x = 304.56 × 81.39
  4. Step 4: Simplify right side
    203.09x = 24,788.14
  5. Step 5: Solve for x
    x = 24,788.14/203.09
  6. Step 6: Final answer
    x = 122.06

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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.