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Finding the Fourth Proportional to 137.87, 190.26 and 75.70

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Solution

The fourth proportional to 137.87, 190.26 and 75.70 is: 104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.87 : 190.26 = 75.70 : x
  2. Step 2: Convert to fraction form
    137.87/190.26 = 75.70/x
  3. Step 3: Cross multiply
    137.87x = 190.26 × 75.70
  4. Step 4: Simplify right side
    137.87x = 14,402.68
  5. Step 5: Solve for x
    x = 14,402.68/137.87
  6. Step 6: Final answer
    x = 104.47

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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.