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Finding the Fourth Proportional to 137.27, 189.50 and 106.12

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Solution

The fourth proportional to 137.27, 189.50 and 106.12 is: 146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.27 : 189.50 = 106.12 : x
  2. Step 2: Convert to fraction form
    137.27/189.50 = 106.12/x
  3. Step 3: Cross multiply
    137.27x = 189.50 × 106.12
  4. Step 4: Simplify right side
    137.27x = 20,108.79
  5. Step 5: Solve for x
    x = 20,108.79/137.27
  6. Step 6: Final answer
    x = 146.49

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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.