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Finding the Fourth Proportional to 98.36, 146.85 and 82.83

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Solution

The fourth proportional to 98.36, 146.85 and 82.83 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.36 : 146.85 = 82.83 : x
  2. Step 2: Convert to fraction form
    98.36/146.85 = 82.83/x
  3. Step 3: Cross multiply
    98.36x = 146.85 × 82.83
  4. Step 4: Simplify right side
    98.36x = 12,163.59
  5. Step 5: Solve for x
    x = 12,163.59/98.36
  6. Step 6: Final answer
    x = 123.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.