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Finding the Fourth Proportional to 122.63, 183.78 and 61.83

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Solution

The fourth proportional to 122.63, 183.78 and 61.83 is: 92.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 183.78 = 61.83 : x
  2. Step 2: Convert to fraction form
    122.63/183.78 = 61.83/x
  3. Step 3: Cross multiply
    122.63x = 183.78 × 61.83
  4. Step 4: Simplify right side
    122.63x = 11,363.12
  5. Step 5: Solve for x
    x = 11,363.12/122.63
  6. Step 6: Final answer
    x = 92.67

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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.