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Finding the Fourth Proportional to 112.56, 167.91 and 107.40

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Solution

The fourth proportional to 112.56, 167.91 and 107.40 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.56 : 167.91 = 107.40 : x
  2. Step 2: Convert to fraction form
    112.56/167.91 = 107.40/x
  3. Step 3: Cross multiply
    112.56x = 167.91 × 107.40
  4. Step 4: Simplify right side
    112.56x = 18,033.53
  5. Step 5: Solve for x
    x = 18,033.53/112.56
  6. Step 6: Final answer
    x = 160.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.