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Finding the Fourth Proportional to 195.39, 293.07 and 81.39

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Solution

The fourth proportional to 195.39, 293.07 and 81.39 is: 122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.39 : 293.07 = 81.39 : x
  2. Step 2: Convert to fraction form
    195.39/293.07 = 81.39/x
  3. Step 3: Cross multiply
    195.39x = 293.07 × 81.39
  4. Step 4: Simplify right side
    195.39x = 23,852.97
  5. Step 5: Solve for x
    x = 23,852.97/195.39
  6. Step 6: Final answer
    x = 122.08

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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.