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Finding the Fourth Proportional to 163.80, 245.62 and 121.08

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Solution

The fourth proportional to 163.80, 245.62 and 121.08 is: 181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.80 : 245.62 = 121.08 : x
  2. Step 2: Convert to fraction form
    163.80/245.62 = 121.08/x
  3. Step 3: Cross multiply
    163.80x = 245.62 × 121.08
  4. Step 4: Simplify right side
    163.80x = 29,739.67
  5. Step 5: Solve for x
    x = 29,739.67/163.80
  6. Step 6: Final answer
    x = 181.56

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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.