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Finding the Fourth Proportional to 82, 123 and 35.74

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Solution

The fourth proportional to 82, 123 and 35.74 is: 53.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 123 = 35.74 : x
  2. Step 2: Convert to fraction form
    82/123 = 35.74/x
  3. Step 3: Cross multiply
    82x = 123 × 35.74
  4. Step 4: Simplify right side
    82x = 4,396.02
  5. Step 5: Solve for x
    x = 4,396.02/82
  6. Step 6: Final answer
    x = 53.61

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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.