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Finding the Fourth Proportional to 137.82, 190.23 and 82.59

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Solution

The fourth proportional to 137.82, 190.23 and 82.59 is: 114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 190.23 = 82.59 : x
  2. Step 2: Convert to fraction form
    137.82/190.23 = 82.59/x
  3. Step 3: Cross multiply
    137.82x = 190.23 × 82.59
  4. Step 4: Simplify right side
    137.82x = 15,710.68
  5. Step 5: Solve for x
    x = 15,710.68/137.82
  6. Step 6: Final answer
    x = 114.00

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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.