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Finding the Fourth Proportional to 213.54, 320.08 and 76.55

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Solution

The fourth proportional to 213.54, 320.08 and 76.55 is: 114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.54 : 320.08 = 76.55 : x
  2. Step 2: Convert to fraction form
    213.54/320.08 = 76.55/x
  3. Step 3: Cross multiply
    213.54x = 320.08 × 76.55
  4. Step 4: Simplify right side
    213.54x = 24,500.26
  5. Step 5: Solve for x
    x = 24,500.26/213.54
  6. Step 6: Final answer
    x = 114.74

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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.