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Finding the Fourth Proportional to 104.07, 155.67 and 82.41

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Solution

The fourth proportional to 104.07, 155.67 and 82.41 is: 123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.07 : 155.67 = 82.41 : x
  2. Step 2: Convert to fraction form
    104.07/155.67 = 82.41/x
  3. Step 3: Cross multiply
    104.07x = 155.67 × 82.41
  4. Step 4: Simplify right side
    104.07x = 12,828.76
  5. Step 5: Solve for x
    x = 12,828.76/104.07
  6. Step 6: Final answer
    x = 123.27

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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.