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Finding the Fourth Proportional to 80.66, 111.34 and 51.60

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Solution

The fourth proportional to 80.66, 111.34 and 51.60 is: 71.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.66 : 111.34 = 51.60 : x
  2. Step 2: Convert to fraction form
    80.66/111.34 = 51.60/x
  3. Step 3: Cross multiply
    80.66x = 111.34 × 51.60
  4. Step 4: Simplify right side
    80.66x = 5,745.14
  5. Step 5: Solve for x
    x = 5,745.14/80.66
  6. Step 6: Final answer
    x = 71.23

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Why These Related Problems?

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