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Finding the Fourth Proportional to 137.72, 206.78 and 115.04

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Solution

The fourth proportional to 137.72, 206.78 and 115.04 is: 172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.72 : 206.78 = 115.04 : x
  2. Step 2: Convert to fraction form
    137.72/206.78 = 115.04/x
  3. Step 3: Cross multiply
    137.72x = 206.78 × 115.04
  4. Step 4: Simplify right side
    137.72x = 23,786.36
  5. Step 5: Solve for x
    x = 23,786.36/137.72
  6. Step 6: Final answer
    x = 172.72

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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.