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Finding the Fourth Proportional to 213.54, 320.46 and 105.36

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Solution

The fourth proportional to 213.54, 320.46 and 105.36 is: 158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.54 : 320.46 = 105.36 : x
  2. Step 2: Convert to fraction form
    213.54/320.46 = 105.36/x
  3. Step 3: Cross multiply
    213.54x = 320.46 × 105.36
  4. Step 4: Simplify right side
    213.54x = 33,763.67
  5. Step 5: Solve for x
    x = 33,763.67/213.54
  6. Step 6: Final answer
    x = 158.11

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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.