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Finding the Fourth Proportional to 65.45, 98.24 and 34.61

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Solution

The fourth proportional to 65.45, 98.24 and 34.61 is: 51.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.45 : 98.24 = 34.61 : x
  2. Step 2: Convert to fraction form
    65.45/98.24 = 34.61/x
  3. Step 3: Cross multiply
    65.45x = 98.24 × 34.61
  4. Step 4: Simplify right side
    65.45x = 3,399.42
  5. Step 5: Solve for x
    x = 3,399.42/65.45
  6. Step 6: Final answer
    x = 51.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.