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Finding the Fourth Proportional to 137.84, 190.29 and 119.37

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Solution

The fourth proportional to 137.84, 190.29 and 119.37 is: 164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 190.29 = 119.37 : x
  2. Step 2: Convert to fraction form
    137.84/190.29 = 119.37/x
  3. Step 3: Cross multiply
    137.84x = 190.29 × 119.37
  4. Step 4: Simplify right side
    137.84x = 22,714.92
  5. Step 5: Solve for x
    x = 22,714.92/137.84
  6. Step 6: Final answer
    x = 164.80

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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.