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Finding the Fourth Proportional to 80.64, 121.10 and 69.30

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Solution

The fourth proportional to 80.64, 121.10 and 69.30 is: 104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.64 : 121.10 = 69.30 : x
  2. Step 2: Convert to fraction form
    80.64/121.10 = 69.30/x
  3. Step 3: Cross multiply
    80.64x = 121.10 × 69.30
  4. Step 4: Simplify right side
    80.64x = 8,391.88
  5. Step 5: Solve for x
    x = 8,391.88/80.64
  6. Step 6: Final answer
    x = 104.07

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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.