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Finding the Fourth Proportional to 98.20, 146.65 and 82.98

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Solution

The fourth proportional to 98.20, 146.65 and 82.98 is: 123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.20 : 146.65 = 82.98 : x
  2. Step 2: Convert to fraction form
    98.20/146.65 = 82.98/x
  3. Step 3: Cross multiply
    98.20x = 146.65 × 82.98
  4. Step 4: Simplify right side
    98.20x = 12,169.02
  5. Step 5: Solve for x
    x = 12,169.02/98.20
  6. Step 6: Final answer
    x = 123.92

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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.