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Finding the Fourth Proportional to 160.89, 241.12 and 68.23

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Solution

The fourth proportional to 160.89, 241.12 and 68.23 is: 102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.89 : 241.12 = 68.23 : x
  2. Step 2: Convert to fraction form
    160.89/241.12 = 68.23/x
  3. Step 3: Cross multiply
    160.89x = 241.12 × 68.23
  4. Step 4: Simplify right side
    160.89x = 16,451.62
  5. Step 5: Solve for x
    x = 16,451.62/160.89
  6. Step 6: Final answer
    x = 102.25

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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.