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Finding the Fourth Proportional to 121.65, 181.62 and 92.61

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Solution

The fourth proportional to 121.65, 181.62 and 92.61 is: 138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.65 : 181.62 = 92.61 : x
  2. Step 2: Convert to fraction form
    121.65/181.62 = 92.61/x
  3. Step 3: Cross multiply
    121.65x = 181.62 × 92.61
  4. Step 4: Simplify right side
    121.65x = 16,819.39
  5. Step 5: Solve for x
    x = 16,819.39/121.65
  6. Step 6: Final answer
    x = 138.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.