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Finding the Fourth Proportional to 213.43, 320.07 and 67.15

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Solution

The fourth proportional to 213.43, 320.07 and 67.15 is: 100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.43 : 320.07 = 67.15 : x
  2. Step 2: Convert to fraction form
    213.43/320.07 = 67.15/x
  3. Step 3: Cross multiply
    213.43x = 320.07 × 67.15
  4. Step 4: Simplify right side
    213.43x = 21,492.70
  5. Step 5: Solve for x
    x = 21,492.70/213.43
  6. Step 6: Final answer
    x = 100.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.