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Finding the Fourth Proportional to 116.78, 160.99 and 89.10

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Solution

The fourth proportional to 116.78, 160.99 and 89.10 is: 122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 160.99 = 89.10 : x
  2. Step 2: Convert to fraction form
    116.78/160.99 = 89.10/x
  3. Step 3: Cross multiply
    116.78x = 160.99 × 89.10
  4. Step 4: Simplify right side
    116.78x = 14,344.21
  5. Step 5: Solve for x
    x = 14,344.21/116.78
  6. Step 6: Final answer
    x = 122.83

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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.