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Finding the Fourth Proportional to 107.73, 148.44 and 83.13

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Solution

The fourth proportional to 107.73, 148.44 and 83.13 is: 114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.73 : 148.44 = 83.13 : x
  2. Step 2: Convert to fraction form
    107.73/148.44 = 83.13/x
  3. Step 3: Cross multiply
    107.73x = 148.44 × 83.13
  4. Step 4: Simplify right side
    107.73x = 12,339.82
  5. Step 5: Solve for x
    x = 12,339.82/107.73
  6. Step 6: Final answer
    x = 114.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.