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Finding the Fourth Proportional to 121.07, 181.67 and 90.54

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Solution

The fourth proportional to 121.07, 181.67 and 90.54 is: 135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.07 : 181.67 = 90.54 : x
  2. Step 2: Convert to fraction form
    121.07/181.67 = 90.54/x
  3. Step 3: Cross multiply
    121.07x = 181.67 × 90.54
  4. Step 4: Simplify right side
    121.07x = 16,447.95
  5. Step 5: Solve for x
    x = 16,447.95/121.07
  6. Step 6: Final answer
    x = 135.86

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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.