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Finding the Fourth Proportional to 121.10, 182.36 and 101.96

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Solution

The fourth proportional to 121.10, 182.36 and 101.96 is: 153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.10 : 182.36 = 101.96 : x
  2. Step 2: Convert to fraction form
    121.10/182.36 = 101.96/x
  3. Step 3: Cross multiply
    121.10x = 182.36 × 101.96
  4. Step 4: Simplify right side
    121.10x = 18,593.17
  5. Step 5: Solve for x
    x = 18,593.17/121.10
  6. Step 6: Final answer
    x = 153.54

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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.