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Finding the Fourth Proportional to 193.21, 289.82 and 102.09

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Solution

The fourth proportional to 193.21, 289.82 and 102.09 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.21 : 289.82 = 102.09 : x
  2. Step 2: Convert to fraction form
    193.21/289.82 = 102.09/x
  3. Step 3: Cross multiply
    193.21x = 289.82 × 102.09
  4. Step 4: Simplify right side
    193.21x = 29,587.72
  5. Step 5: Solve for x
    x = 29,587.72/193.21
  6. Step 6: Final answer
    x = 153.14

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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.