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Finding the Fourth Proportional to 65, 97.46 and 34.54

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Solution

The fourth proportional to 65, 97.46 and 34.54 is: 51.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 97.46 = 34.54 : x
  2. Step 2: Convert to fraction form
    65/97.46 = 34.54/x
  3. Step 3: Cross multiply
    65x = 97.46 × 34.54
  4. Step 4: Simplify right side
    65x = 3,366.27
  5. Step 5: Solve for x
    x = 3,366.27/65
  6. Step 6: Final answer
    x = 51.79

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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.