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Finding the Fourth Proportional to 98.24, 135.44 and 84.36

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Solution

The fourth proportional to 98.24, 135.44 and 84.36 is: 116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.24 : 135.44 = 84.36 : x
  2. Step 2: Convert to fraction form
    98.24/135.44 = 84.36/x
  3. Step 3: Cross multiply
    98.24x = 135.44 × 84.36
  4. Step 4: Simplify right side
    98.24x = 11,425.30
  5. Step 5: Solve for x
    x = 11,425.30/98.24
  6. Step 6: Final answer
    x = 116.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.