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Finding the Fourth Proportional to 80.80, 121.09 and 35.14

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Solution

The fourth proportional to 80.80, 121.09 and 35.14 is: 52.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.80 : 121.09 = 35.14 : x
  2. Step 2: Convert to fraction form
    80.80/121.09 = 35.14/x
  3. Step 3: Cross multiply
    80.80x = 121.09 × 35.14
  4. Step 4: Simplify right side
    80.80x = 4,254.32
  5. Step 5: Solve for x
    x = 4,254.32/80.80
  6. Step 6: Final answer
    x = 52.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.