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Finding the Fourth Proportional to 98.08, 146.76 and 82.72

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Solution

The fourth proportional to 98.08, 146.76 and 82.72 is: 123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.08 : 146.76 = 82.72 : x
  2. Step 2: Convert to fraction form
    98.08/146.76 = 82.72/x
  3. Step 3: Cross multiply
    98.08x = 146.76 × 82.72
  4. Step 4: Simplify right side
    98.08x = 12,139.99
  5. Step 5: Solve for x
    x = 12,139.99/98.08
  6. Step 6: Final answer
    x = 123.78

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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.