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Finding the Fourth Proportional to 137.94, 190.47 and 103.37

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Solution

The fourth proportional to 137.94, 190.47 and 103.37 is: 142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.94 : 190.47 = 103.37 : x
  2. Step 2: Convert to fraction form
    137.94/190.47 = 103.37/x
  3. Step 3: Cross multiply
    137.94x = 190.47 × 103.37
  4. Step 4: Simplify right side
    137.94x = 19,687.41
  5. Step 5: Solve for x
    x = 19,687.41/137.94
  6. Step 6: Final answer
    x = 142.72

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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.