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Finding the Fourth Proportional to 80.86, 111.61 and 53.23

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Solution

The fourth proportional to 80.86, 111.61 and 53.23 is: 73.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.86 : 111.61 = 53.23 : x
  2. Step 2: Convert to fraction form
    80.86/111.61 = 53.23/x
  3. Step 3: Cross multiply
    80.86x = 111.61 × 53.23
  4. Step 4: Simplify right side
    80.86x = 5,940.44
  5. Step 5: Solve for x
    x = 5,940.44/80.86
  6. Step 6: Final answer
    x = 73.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.