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Finding the Fourth Proportional to 270.01, 405.11 and 107.74

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Solution

The fourth proportional to 270.01, 405.11 and 107.74 is: 161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.01 : 405.11 = 107.74 : x
  2. Step 2: Convert to fraction form
    270.01/405.11 = 107.74/x
  3. Step 3: Cross multiply
    270.01x = 405.11 × 107.74
  4. Step 4: Simplify right side
    270.01x = 43,646.55
  5. Step 5: Solve for x
    x = 43,646.55/270.01
  6. Step 6: Final answer
    x = 161.65

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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.