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Finding the Fourth Proportional to 281.18, 421.73 and 107.93

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Solution

The fourth proportional to 281.18, 421.73 and 107.93 is: 161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.18 : 421.73 = 107.93 : x
  2. Step 2: Convert to fraction form
    281.18/421.73 = 107.93/x
  3. Step 3: Cross multiply
    281.18x = 421.73 × 107.93
  4. Step 4: Simplify right side
    281.18x = 45,517.32
  5. Step 5: Solve for x
    x = 45,517.32/281.18
  6. Step 6: Final answer
    x = 161.88

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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.