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Finding the Fourth Proportional to 98.03, 146.85 and 46.61

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Solution

The fourth proportional to 98.03, 146.85 and 46.61 is: 69.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.03 : 146.85 = 46.61 : x
  2. Step 2: Convert to fraction form
    98.03/146.85 = 46.61/x
  3. Step 3: Cross multiply
    98.03x = 146.85 × 46.61
  4. Step 4: Simplify right side
    98.03x = 6,843.94
  5. Step 5: Solve for x
    x = 6,843.94/98.03
  6. Step 6: Final answer
    x = 69.82

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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.