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Finding the Fourth Proportional to 107.40, 160.82 and 71.22

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Solution

The fourth proportional to 107.40, 160.82 and 71.22 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.40 : 160.82 = 71.22 : x
  2. Step 2: Convert to fraction form
    107.40/160.82 = 71.22/x
  3. Step 3: Cross multiply
    107.40x = 160.82 × 71.22
  4. Step 4: Simplify right side
    107.40x = 11,453.60
  5. Step 5: Solve for x
    x = 11,453.60/107.40
  6. Step 6: Final answer
    x = 106.64

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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.