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Finding the Fourth Proportional to 116.94, 161.39 and 67.83

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Solution

The fourth proportional to 116.94, 161.39 and 67.83 is: 93.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.94 : 161.39 = 67.83 : x
  2. Step 2: Convert to fraction form
    116.94/161.39 = 67.83/x
  3. Step 3: Cross multiply
    116.94x = 161.39 × 67.83
  4. Step 4: Simplify right side
    116.94x = 10,946.74
  5. Step 5: Solve for x
    x = 10,946.74/116.94
  6. Step 6: Final answer
    x = 93.61

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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.