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Finding the Fourth Proportional to 80.55, 121.05 and 72.12

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Solution

The fourth proportional to 80.55, 121.05 and 72.12 is: 108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.55 : 121.05 = 72.12 : x
  2. Step 2: Convert to fraction form
    80.55/121.05 = 72.12/x
  3. Step 3: Cross multiply
    80.55x = 121.05 × 72.12
  4. Step 4: Simplify right side
    80.55x = 8,730.13
  5. Step 5: Solve for x
    x = 8,730.13/80.55
  6. Step 6: Final answer
    x = 108.38

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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.