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Finding the Fourth Proportional to 107.31, 160.83 and 53.12

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Solution

The fourth proportional to 107.31, 160.83 and 53.12 is: 79.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.31 : 160.83 = 53.12 : x
  2. Step 2: Convert to fraction form
    107.31/160.83 = 53.12/x
  3. Step 3: Cross multiply
    107.31x = 160.83 × 53.12
  4. Step 4: Simplify right side
    107.31x = 8,542.49
  5. Step 5: Solve for x
    x = 8,542.49/107.31
  6. Step 6: Final answer
    x = 79.61

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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.