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Finding the Fourth Proportional to 137.68, 206.64 and 80

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Solution

The fourth proportional to 137.68, 206.64 and 80 is: 120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.68 : 206.64 = 80 : x
  2. Step 2: Convert to fraction form
    137.68/206.64 = 80/x
  3. Step 3: Cross multiply
    137.68x = 206.64 × 80
  4. Step 4: Simplify right side
    137.68x = 16,531.20
  5. Step 5: Solve for x
    x = 16,531.20/137.68
  6. Step 6: Final answer
    x = 120.07

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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.