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Finding the Fourth Proportional to 116.69, 161.10 and 77.41

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Solution

The fourth proportional to 116.69, 161.10 and 77.41 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.69 : 161.10 = 77.41 : x
  2. Step 2: Convert to fraction form
    116.69/161.10 = 77.41/x
  3. Step 3: Cross multiply
    116.69x = 161.10 × 77.41
  4. Step 4: Simplify right side
    116.69x = 12,470.36
  5. Step 5: Solve for x
    x = 12,470.36/116.69
  6. Step 6: Final answer
    x = 106.87

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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.