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Finding the Fourth Proportional to 107.73, 146.61 and 107.31

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Solution

The fourth proportional to 107.73, 146.61 and 107.31 is: 146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.73 : 146.61 = 107.31 : x
  2. Step 2: Convert to fraction form
    107.73/146.61 = 107.31/x
  3. Step 3: Cross multiply
    107.73x = 146.61 × 107.31
  4. Step 4: Simplify right side
    107.73x = 15,732.72
  5. Step 5: Solve for x
    x = 15,732.72/107.73
  6. Step 6: Final answer
    x = 146.04

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.