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Finding the Fourth Proportional to 98.44, 146.96 and 92.64

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Solution

The fourth proportional to 98.44, 146.96 and 92.64 is: 138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.44 : 146.96 = 92.64 : x
  2. Step 2: Convert to fraction form
    98.44/146.96 = 92.64/x
  3. Step 3: Cross multiply
    98.44x = 146.96 × 92.64
  4. Step 4: Simplify right side
    98.44x = 13,614.37
  5. Step 5: Solve for x
    x = 13,614.37/98.44
  6. Step 6: Final answer
    x = 138.30

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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.