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Finding the Fourth Proportional to 137.45, 205.96 and 122.06

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Solution

The fourth proportional to 137.45, 205.96 and 122.06 is: 182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.45 : 205.96 = 122.06 : x
  2. Step 2: Convert to fraction form
    137.45/205.96 = 122.06/x
  3. Step 3: Cross multiply
    137.45x = 205.96 × 122.06
  4. Step 4: Simplify right side
    137.45x = 25,139.48
  5. Step 5: Solve for x
    x = 25,139.48/137.45
  6. Step 6: Final answer
    x = 182.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.