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Finding the Fourth Proportional to 281.03, 421.54 and 107.78

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Solution

The fourth proportional to 281.03, 421.54 and 107.78 is: 161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.03 : 421.54 = 107.78 : x
  2. Step 2: Convert to fraction form
    281.03/421.54 = 107.78/x
  3. Step 3: Cross multiply
    281.03x = 421.54 × 107.78
  4. Step 4: Simplify right side
    281.03x = 45,431.20
  5. Step 5: Solve for x
    x = 45,431.20/281.03
  6. Step 6: Final answer
    x = 161.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.