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Finding the Fourth Proportional to 69.14, 102.97 and 65

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Solution

The fourth proportional to 69.14, 102.97 and 65 is: 96.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.14 : 102.97 = 65 : x
  2. Step 2: Convert to fraction form
    69.14/102.97 = 65/x
  3. Step 3: Cross multiply
    69.14x = 102.97 × 65
  4. Step 4: Simplify right side
    69.14x = 6,693.05
  5. Step 5: Solve for x
    x = 6,693.05/69.14
  6. Step 6: Final answer
    x = 96.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.