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Finding the Fourth Proportional to 213.48, 320.14 and 83.54

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Solution

The fourth proportional to 213.48, 320.14 and 83.54 is: 125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.48 : 320.14 = 83.54 : x
  2. Step 2: Convert to fraction form
    213.48/320.14 = 83.54/x
  3. Step 3: Cross multiply
    213.48x = 320.14 × 83.54
  4. Step 4: Simplify right side
    213.48x = 26,744.03
  5. Step 5: Solve for x
    x = 26,744.03/213.48
  6. Step 6: Final answer
    x = 125.28

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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.