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Finding the Fourth Proportional to 137.24, 189.15 and 107.67

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Solution

The fourth proportional to 137.24, 189.15 and 107.67 is: 148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 189.15 = 107.67 : x
  2. Step 2: Convert to fraction form
    137.24/189.15 = 107.67/x
  3. Step 3: Cross multiply
    137.24x = 189.15 × 107.67
  4. Step 4: Simplify right side
    137.24x = 20,365.78
  5. Step 5: Solve for x
    x = 20,365.78/137.24
  6. Step 6: Final answer
    x = 148.40

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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.