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Finding the Fourth Proportional to 98.00, 146.84 and 70.97

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Solution

The fourth proportional to 98.00, 146.84 and 70.97 is: 106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.00 : 146.84 = 70.97 : x
  2. Step 2: Convert to fraction form
    98.00/146.84 = 70.97/x
  3. Step 3: Cross multiply
    98.00x = 146.84 × 70.97
  4. Step 4: Simplify right side
    98.00x = 10,420.15
  5. Step 5: Solve for x
    x = 10,420.15/98.00
  6. Step 6: Final answer
    x = 106.33

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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.