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Finding the Fourth Proportional to 98.36, 146.97 and 84.88

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Solution

The fourth proportional to 98.36, 146.97 and 84.88 is: 126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.36 : 146.97 = 84.88 : x
  2. Step 2: Convert to fraction form
    98.36/146.97 = 84.88/x
  3. Step 3: Cross multiply
    98.36x = 146.97 × 84.88
  4. Step 4: Simplify right side
    98.36x = 12,474.81
  5. Step 5: Solve for x
    x = 12,474.81/98.36
  6. Step 6: Final answer
    x = 126.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.