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Finding the Fourth Proportional to 121.41, 182.11 and 97.51

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Solution

The fourth proportional to 121.41, 182.11 and 97.51 is: 146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.41 : 182.11 = 97.51 : x
  2. Step 2: Convert to fraction form
    121.41/182.11 = 97.51/x
  3. Step 3: Cross multiply
    121.41x = 182.11 × 97.51
  4. Step 4: Simplify right side
    121.41x = 17,757.55
  5. Step 5: Solve for x
    x = 17,757.55/121.41
  6. Step 6: Final answer
    x = 146.26

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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.