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Finding the Fourth Proportional to 213.16, 319.74 and 68.89

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Solution

The fourth proportional to 213.16, 319.74 and 68.89 is: 103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.16 : 319.74 = 68.89 : x
  2. Step 2: Convert to fraction form
    213.16/319.74 = 68.89/x
  3. Step 3: Cross multiply
    213.16x = 319.74 × 68.89
  4. Step 4: Simplify right side
    213.16x = 22,026.89
  5. Step 5: Solve for x
    x = 22,026.89/213.16
  6. Step 6: Final answer
    x = 103.34

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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.