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Finding the Fourth Proportional to 107.09, 161.36 and 88.25

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Solution

The fourth proportional to 107.09, 161.36 and 88.25 is: 132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.09 : 161.36 = 88.25 : x
  2. Step 2: Convert to fraction form
    107.09/161.36 = 88.25/x
  3. Step 3: Cross multiply
    107.09x = 161.36 × 88.25
  4. Step 4: Simplify right side
    107.09x = 14,238.77
  5. Step 5: Solve for x
    x = 14,238.77/107.09
  6. Step 6: Final answer
    x = 132.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.