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Finding the Fourth Proportional to 137.35, 206.07 and 79.47

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Solution

The fourth proportional to 137.35, 206.07 and 79.47 is: 119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.35 : 206.07 = 79.47 : x
  2. Step 2: Convert to fraction form
    137.35/206.07 = 79.47/x
  3. Step 3: Cross multiply
    137.35x = 206.07 × 79.47
  4. Step 4: Simplify right side
    137.35x = 16,376.35
  5. Step 5: Solve for x
    x = 16,376.35/137.35
  6. Step 6: Final answer
    x = 119.23

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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.