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Finding the Fourth Proportional to 98.12, 146.97 and 85.29

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Solution

The fourth proportional to 98.12, 146.97 and 85.29 is: 127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.12 : 146.97 = 85.29 : x
  2. Step 2: Convert to fraction form
    98.12/146.97 = 85.29/x
  3. Step 3: Cross multiply
    98.12x = 146.97 × 85.29
  4. Step 4: Simplify right side
    98.12x = 12,535.07
  5. Step 5: Solve for x
    x = 12,535.07/98.12
  6. Step 6: Final answer
    x = 127.76

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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.