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Finding the Fourth Proportional to 89.75, 134.37 and 55.41

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Solution

The fourth proportional to 89.75, 134.37 and 55.41 is: 82.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.75 : 134.37 = 55.41 : x
  2. Step 2: Convert to fraction form
    89.75/134.37 = 55.41/x
  3. Step 3: Cross multiply
    89.75x = 134.37 × 55.41
  4. Step 4: Simplify right side
    89.75x = 7,445.44
  5. Step 5: Solve for x
    x = 7,445.44/89.75
  6. Step 6: Final answer
    x = 82.96

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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.