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Finding the Fourth Proportional to 137.92, 206.34 and 104.98

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Solution

The fourth proportional to 137.92, 206.34 and 104.98 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.92 : 206.34 = 104.98 : x
  2. Step 2: Convert to fraction form
    137.92/206.34 = 104.98/x
  3. Step 3: Cross multiply
    137.92x = 206.34 × 104.98
  4. Step 4: Simplify right side
    137.92x = 21,661.57
  5. Step 5: Solve for x
    x = 21,661.57/137.92
  6. Step 6: Final answer
    x = 157.06

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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.