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Finding the Fourth Proportional to 137.98, 190.41 and 75.81

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Solution

The fourth proportional to 137.98, 190.41 and 75.81 is: 104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.98 : 190.41 = 75.81 : x
  2. Step 2: Convert to fraction form
    137.98/190.41 = 75.81/x
  3. Step 3: Cross multiply
    137.98x = 190.41 × 75.81
  4. Step 4: Simplify right side
    137.98x = 14,434.77
  5. Step 5: Solve for x
    x = 14,434.77/137.98
  6. Step 6: Final answer
    x = 104.62

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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.