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Finding the Fourth Proportional to 80.74, 111.21 and 65.02

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Solution

The fourth proportional to 80.74, 111.21 and 65.02 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.74 : 111.21 = 65.02 : x
  2. Step 2: Convert to fraction form
    80.74/111.21 = 65.02/x
  3. Step 3: Cross multiply
    80.74x = 111.21 × 65.02
  4. Step 4: Simplify right side
    80.74x = 7,230.87
  5. Step 5: Solve for x
    x = 7,230.87/80.74
  6. Step 6: Final answer
    x = 89.56

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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.