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Finding the Fourth Proportional to 116.67, 160.86 and 85.56

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Solution

The fourth proportional to 116.67, 160.86 and 85.56 is: 117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.67 : 160.86 = 85.56 : x
  2. Step 2: Convert to fraction form
    116.67/160.86 = 85.56/x
  3. Step 3: Cross multiply
    116.67x = 160.86 × 85.56
  4. Step 4: Simplify right side
    116.67x = 13,763.18
  5. Step 5: Solve for x
    x = 13,763.18/116.67
  6. Step 6: Final answer
    x = 117.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.