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Finding the Fourth Proportional to 213.98, 320.89 and 75.14

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Solution

The fourth proportional to 213.98, 320.89 and 75.14 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.98 : 320.89 = 75.14 : x
  2. Step 2: Convert to fraction form
    213.98/320.89 = 75.14/x
  3. Step 3: Cross multiply
    213.98x = 320.89 × 75.14
  4. Step 4: Simplify right side
    213.98x = 24,111.23
  5. Step 5: Solve for x
    x = 24,111.23/213.98
  6. Step 6: Final answer
    x = 112.68

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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.