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Finding the Fourth Proportional to 161.95, 242.31 and 121.54

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Solution

The fourth proportional to 161.95, 242.31 and 121.54 is: 181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.95 : 242.31 = 121.54 : x
  2. Step 2: Convert to fraction form
    161.95/242.31 = 121.54/x
  3. Step 3: Cross multiply
    161.95x = 242.31 × 121.54
  4. Step 4: Simplify right side
    161.95x = 29,450.36
  5. Step 5: Solve for x
    x = 29,450.36/161.95
  6. Step 6: Final answer
    x = 181.85

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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.