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Finding the Fourth Proportional to 82.62, 123.92 and 27.78

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Solution

The fourth proportional to 82.62, 123.92 and 27.78 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.62 : 123.92 = 27.78 : x
  2. Step 2: Convert to fraction form
    82.62/123.92 = 27.78/x
  3. Step 3: Cross multiply
    82.62x = 123.92 × 27.78
  4. Step 4: Simplify right side
    82.62x = 3,442.50
  5. Step 5: Solve for x
    x = 3,442.50/82.62
  6. Step 6: Final answer
    x = 41.67

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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.