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Finding the Fourth Proportional to 116.03, 174.69 and 80.20

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Solution

The fourth proportional to 116.03, 174.69 and 80.20 is: 120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.03 : 174.69 = 80.20 : x
  2. Step 2: Convert to fraction form
    116.03/174.69 = 80.20/x
  3. Step 3: Cross multiply
    116.03x = 174.69 × 80.20
  4. Step 4: Simplify right side
    116.03x = 14,010.14
  5. Step 5: Solve for x
    x = 14,010.14/116.03
  6. Step 6: Final answer
    x = 120.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.