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Finding the Fourth Proportional to 230.11, 345.17 and 67.79

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Solution

The fourth proportional to 230.11, 345.17 and 67.79 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.11 : 345.17 = 67.79 : x
  2. Step 2: Convert to fraction form
    230.11/345.17 = 67.79/x
  3. Step 3: Cross multiply
    230.11x = 345.17 × 67.79
  4. Step 4: Simplify right side
    230.11x = 23,400.11
  5. Step 5: Solve for x
    x = 23,400.11/230.11
  6. Step 6: Final answer
    x = 101.69

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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.