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Finding the Fourth Proportional to 98.19, 146.41 and 83.61

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Solution

The fourth proportional to 98.19, 146.41 and 83.61 is: 124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.19 : 146.41 = 83.61 : x
  2. Step 2: Convert to fraction form
    98.19/146.41 = 83.61/x
  3. Step 3: Cross multiply
    98.19x = 146.41 × 83.61
  4. Step 4: Simplify right side
    98.19x = 12,240.72
  5. Step 5: Solve for x
    x = 12,240.72/98.19
  6. Step 6: Final answer
    x = 124.67

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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.