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Finding the Fourth Proportional to 80.69, 121.03 and 53.69

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Solution

The fourth proportional to 80.69, 121.03 and 53.69 is: 80.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.69 : 121.03 = 53.69 : x
  2. Step 2: Convert to fraction form
    80.69/121.03 = 53.69/x
  3. Step 3: Cross multiply
    80.69x = 121.03 × 53.69
  4. Step 4: Simplify right side
    80.69x = 6,497.36
  5. Step 5: Solve for x
    x = 6,497.36/80.69
  6. Step 6: Final answer
    x = 80.53

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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.