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Finding the Fourth Proportional to 69.65, 105.05 and 69.65

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Solution

The fourth proportional to 69.65, 105.05 and 69.65 is: 105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.65 : 105.05 = 69.65 : x
  2. Step 2: Convert to fraction form
    69.65/105.05 = 69.65/x
  3. Step 3: Cross multiply
    69.65x = 105.05 × 69.65
  4. Step 4: Simplify right side
    69.65x = 7,316.73
  5. Step 5: Solve for x
    x = 7,316.73/69.65
  6. Step 6: Final answer
    x = 105.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.