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Finding the Fourth Proportional to 116.68, 160.96 and 89

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Solution

The fourth proportional to 116.68, 160.96 and 89 is: 122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.68 : 160.96 = 89 : x
  2. Step 2: Convert to fraction form
    116.68/160.96 = 89/x
  3. Step 3: Cross multiply
    116.68x = 160.96 × 89
  4. Step 4: Simplify right side
    116.68x = 14,325.44
  5. Step 5: Solve for x
    x = 14,325.44/116.68
  6. Step 6: Final answer
    x = 122.78

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Why These Related Problems?

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