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Finding the Fourth Proportional to 137.24, 189.34 and 109.65

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Solution

The fourth proportional to 137.24, 189.34 and 109.65 is: 151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 189.34 = 109.65 : x
  2. Step 2: Convert to fraction form
    137.24/189.34 = 109.65/x
  3. Step 3: Cross multiply
    137.24x = 189.34 × 109.65
  4. Step 4: Simplify right side
    137.24x = 20,761.57
  5. Step 5: Solve for x
    x = 20,761.57/137.24
  6. Step 6: Final answer
    x = 151.27

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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.