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Finding the Fourth Proportional to 80.69, 120.36 and 72.99

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Solution

The fourth proportional to 80.69, 120.36 and 72.99 is: 108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.69 : 120.36 = 72.99 : x
  2. Step 2: Convert to fraction form
    80.69/120.36 = 72.99/x
  3. Step 3: Cross multiply
    80.69x = 120.36 × 72.99
  4. Step 4: Simplify right side
    80.69x = 8,784.94
  5. Step 5: Solve for x
    x = 8,784.94/80.69
  6. Step 6: Final answer
    x = 108.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.