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Finding the Fourth Proportional to 231.09, 346.45 and 107.76

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Solution

The fourth proportional to 231.09, 346.45 and 107.76 is: 161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.09 : 346.45 = 107.76 : x
  2. Step 2: Convert to fraction form
    231.09/346.45 = 107.76/x
  3. Step 3: Cross multiply
    231.09x = 346.45 × 107.76
  4. Step 4: Simplify right side
    231.09x = 37,331.38
  5. Step 5: Solve for x
    x = 37,331.38/231.09
  6. Step 6: Final answer
    x = 161.55

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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.