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Finding the Fourth Proportional to 89.23, 133.85 and 54.97

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Solution

The fourth proportional to 89.23, 133.85 and 54.97 is: 82.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.23 : 133.85 = 54.97 : x
  2. Step 2: Convert to fraction form
    89.23/133.85 = 54.97/x
  3. Step 3: Cross multiply
    89.23x = 133.85 × 54.97
  4. Step 4: Simplify right side
    89.23x = 7,357.73
  5. Step 5: Solve for x
    x = 7,357.73/89.23
  6. Step 6: Final answer
    x = 82.46

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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.