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Finding the Fourth Proportional to 98.24, 135.41 and 73.67

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Solution

The fourth proportional to 98.24, 135.41 and 73.67 is: 101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.24 : 135.41 = 73.67 : x
  2. Step 2: Convert to fraction form
    98.24/135.41 = 73.67/x
  3. Step 3: Cross multiply
    98.24x = 135.41 × 73.67
  4. Step 4: Simplify right side
    98.24x = 9,974.61
  5. Step 5: Solve for x
    x = 9,974.61/98.24
  6. Step 6: Final answer
    x = 101.54

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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.