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Finding the Fourth Proportional to 321.45, 482.13 and 105

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Solution

The fourth proportional to 321.45, 482.13 and 105 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.45 : 482.13 = 105 : x
  2. Step 2: Convert to fraction form
    321.45/482.13 = 105/x
  3. Step 3: Cross multiply
    321.45x = 482.13 × 105
  4. Step 4: Simplify right side
    321.45x = 50,623.65
  5. Step 5: Solve for x
    x = 50,623.65/321.45
  6. Step 6: Final answer
    x = 157.49

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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.