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Finding the Fourth Proportional to 213.65, 320.54 and 69.33

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Solution

The fourth proportional to 213.65, 320.54 and 69.33 is: 104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.65 : 320.54 = 69.33 : x
  2. Step 2: Convert to fraction form
    213.65/320.54 = 69.33/x
  3. Step 3: Cross multiply
    213.65x = 320.54 × 69.33
  4. Step 4: Simplify right side
    213.65x = 22,222.69
  5. Step 5: Solve for x
    x = 22,222.69/213.65
  6. Step 6: Final answer
    x = 104.02

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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.