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Finding the Fourth Proportional to 160.96, 241.35 and 95.97

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Solution

The fourth proportional to 160.96, 241.35 and 95.97 is: 143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.96 : 241.35 = 95.97 : x
  2. Step 2: Convert to fraction form
    160.96/241.35 = 95.97/x
  3. Step 3: Cross multiply
    160.96x = 241.35 × 95.97
  4. Step 4: Simplify right side
    160.96x = 23,162.36
  5. Step 5: Solve for x
    x = 23,162.36/160.96
  6. Step 6: Final answer
    x = 143.90

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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.