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Finding the Fourth Proportional to 65.53, 98.23 and 22.75

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Solution

The fourth proportional to 65.53, 98.23 and 22.75 is: 34.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 98.23 = 22.75 : x
  2. Step 2: Convert to fraction form
    65.53/98.23 = 22.75/x
  3. Step 3: Cross multiply
    65.53x = 98.23 × 22.75
  4. Step 4: Simplify right side
    65.53x = 2,234.73
  5. Step 5: Solve for x
    x = 2,234.73/65.53
  6. Step 6: Final answer
    x = 34.10

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Why These Related Problems?

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