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Finding the Fourth Proportional to 137.82, 190.19 and 75.65

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Solution

The fourth proportional to 137.82, 190.19 and 75.65 is: 104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 190.19 = 75.65 : x
  2. Step 2: Convert to fraction form
    137.82/190.19 = 75.65/x
  3. Step 3: Cross multiply
    137.82x = 190.19 × 75.65
  4. Step 4: Simplify right side
    137.82x = 14,386.54
  5. Step 5: Solve for x
    x = 14,386.54/137.82
  6. Step 6: Final answer
    x = 104.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.