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Finding the Fourth Proportional to 116.74, 161.16 and 80.02

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Solution

The fourth proportional to 116.74, 161.16 and 80.02 is: 110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.74 : 161.16 = 80.02 : x
  2. Step 2: Convert to fraction form
    116.74/161.16 = 80.02/x
  3. Step 3: Cross multiply
    116.74x = 161.16 × 80.02
  4. Step 4: Simplify right side
    116.74x = 12,896.02
  5. Step 5: Solve for x
    x = 12,896.02/116.74
  6. Step 6: Final answer
    x = 110.47

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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.