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Finding the Fourth Proportional to 137.90, 190.28 and 82.65

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Solution

The fourth proportional to 137.90, 190.28 and 82.65 is: 114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 190.28 = 82.65 : x
  2. Step 2: Convert to fraction form
    137.90/190.28 = 82.65/x
  3. Step 3: Cross multiply
    137.90x = 190.28 × 82.65
  4. Step 4: Simplify right side
    137.90x = 15,726.64
  5. Step 5: Solve for x
    x = 15,726.64/137.90
  6. Step 6: Final answer
    x = 114.04

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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.