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Finding the Fourth Proportional to 107.40, 160.74 and 71.31

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Solution

The fourth proportional to 107.40, 160.74 and 71.31 is: 106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.40 : 160.74 = 71.31 : x
  2. Step 2: Convert to fraction form
    107.40/160.74 = 71.31/x
  3. Step 3: Cross multiply
    107.40x = 160.74 × 71.31
  4. Step 4: Simplify right side
    107.40x = 11,462.37
  5. Step 5: Solve for x
    x = 11,462.37/107.40
  6. Step 6: Final answer
    x = 106.73

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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.