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Finding the Fourth Proportional to 137.08, 189.11 and 107.69

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Solution

The fourth proportional to 137.08, 189.11 and 107.69 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.08 : 189.11 = 107.69 : x
  2. Step 2: Convert to fraction form
    137.08/189.11 = 107.69/x
  3. Step 3: Cross multiply
    137.08x = 189.11 × 107.69
  4. Step 4: Simplify right side
    137.08x = 20,364.31
  5. Step 5: Solve for x
    x = 20,364.31/137.08
  6. Step 6: Final answer
    x = 148.56

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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.