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Finding the Fourth Proportional to 137.82, 190.09 and 115.32

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Solution

The fourth proportional to 137.82, 190.09 and 115.32 is: 159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 190.09 = 115.32 : x
  2. Step 2: Convert to fraction form
    137.82/190.09 = 115.32/x
  3. Step 3: Cross multiply
    137.82x = 190.09 × 115.32
  4. Step 4: Simplify right side
    137.82x = 21,921.18
  5. Step 5: Solve for x
    x = 21,921.18/137.82
  6. Step 6: Final answer
    x = 159.06

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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.