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Finding the Fourth Proportional to 116.70, 161.11 and 75.31

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Solution

The fourth proportional to 116.70, 161.11 and 75.31 is: 103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.70 : 161.11 = 75.31 : x
  2. Step 2: Convert to fraction form
    116.70/161.11 = 75.31/x
  3. Step 3: Cross multiply
    116.70x = 161.11 × 75.31
  4. Step 4: Simplify right side
    116.70x = 12,133.40
  5. Step 5: Solve for x
    x = 12,133.40/116.70
  6. Step 6: Final answer
    x = 103.97

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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.