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Finding the Fourth Proportional to 137.50, 205.82 and 96.80

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Solution

The fourth proportional to 137.50, 205.82 and 96.80 is: 144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 205.82 = 96.80 : x
  2. Step 2: Convert to fraction form
    137.50/205.82 = 96.80/x
  3. Step 3: Cross multiply
    137.50x = 205.82 × 96.80
  4. Step 4: Simplify right side
    137.50x = 19,923.38
  5. Step 5: Solve for x
    x = 19,923.38/137.50
  6. Step 6: Final answer
    x = 144.90

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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.