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Finding the Fourth Proportional to 137.86, 190.24 and 75.69

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Solution

The fourth proportional to 137.86, 190.24 and 75.69 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.86 : 190.24 = 75.69 : x
  2. Step 2: Convert to fraction form
    137.86/190.24 = 75.69/x
  3. Step 3: Cross multiply
    137.86x = 190.24 × 75.69
  4. Step 4: Simplify right side
    137.86x = 14,399.27
  5. Step 5: Solve for x
    x = 14,399.27/137.86
  6. Step 6: Final answer
    x = 104.45

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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.