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Finding the Fourth Proportional to 80, 110.41 and 61.54

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Solution

The fourth proportional to 80, 110.41 and 61.54 is: 84.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80 : 110.41 = 61.54 : x
  2. Step 2: Convert to fraction form
    80/110.41 = 61.54/x
  3. Step 3: Cross multiply
    80x = 110.41 × 61.54
  4. Step 4: Simplify right side
    80x = 6,794.63
  5. Step 5: Solve for x
    x = 6,794.63/80
  6. Step 6: Final answer
    x = 84.93

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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.