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Finding the Fourth Proportional to 121.22, 181.86 and 112.51

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Solution

The fourth proportional to 121.22, 181.86 and 112.51 is: 168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.22 : 181.86 = 112.51 : x
  2. Step 2: Convert to fraction form
    121.22/181.86 = 112.51/x
  3. Step 3: Cross multiply
    121.22x = 181.86 × 112.51
  4. Step 4: Simplify right side
    121.22x = 20,459.60
  5. Step 5: Solve for x
    x = 20,459.60/121.22
  6. Step 6: Final answer
    x = 168.79

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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.