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Finding the Fourth Proportional to 270.17, 405.48 and 107.96

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Solution

The fourth proportional to 270.17, 405.48 and 107.96 is: 162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.17 : 405.48 = 107.96 : x
  2. Step 2: Convert to fraction form
    270.17/405.48 = 107.96/x
  3. Step 3: Cross multiply
    270.17x = 405.48 × 107.96
  4. Step 4: Simplify right side
    270.17x = 43,775.62
  5. Step 5: Solve for x
    x = 43,775.62/270.17
  6. Step 6: Final answer
    x = 162.03

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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.