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Finding the Fourth Proportional to 137.69, 206.06 and 103.37

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Solution

The fourth proportional to 137.69, 206.06 and 103.37 is: 154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.69 : 206.06 = 103.37 : x
  2. Step 2: Convert to fraction form
    137.69/206.06 = 103.37/x
  3. Step 3: Cross multiply
    137.69x = 206.06 × 103.37
  4. Step 4: Simplify right side
    137.69x = 21,298.88
  5. Step 5: Solve for x
    x = 21,298.88/137.69
  6. Step 6: Final answer
    x = 154.69

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