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Finding the Fourth Proportional to 137.35, 205.75 and 83.35

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Solution

The fourth proportional to 137.35, 205.75 and 83.35 is: 124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.35 : 205.75 = 83.35 : x
  2. Step 2: Convert to fraction form
    137.35/205.75 = 83.35/x
  3. Step 3: Cross multiply
    137.35x = 205.75 × 83.35
  4. Step 4: Simplify right side
    137.35x = 17,147.82
  5. Step 5: Solve for x
    x = 17,147.82/137.35
  6. Step 6: Final answer
    x = 124.85

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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.