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Finding the Fourth Proportional to 121.23, 182.84 and 119.81

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Solution

The fourth proportional to 121.23, 182.84 and 119.81 is: 180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.23 : 182.84 = 119.81 : x
  2. Step 2: Convert to fraction form
    121.23/182.84 = 119.81/x
  3. Step 3: Cross multiply
    121.23x = 182.84 × 119.81
  4. Step 4: Simplify right side
    121.23x = 21,904.55
  5. Step 5: Solve for x
    x = 21,904.55/121.23
  6. Step 6: Final answer
    x = 180.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.