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Finding the Fourth Proportional to 161.42, 222.74 and 102.39

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Solution

The fourth proportional to 161.42, 222.74 and 102.39 is: 141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.42 : 222.74 = 102.39 : x
  2. Step 2: Convert to fraction form
    161.42/222.74 = 102.39/x
  3. Step 3: Cross multiply
    161.42x = 222.74 × 102.39
  4. Step 4: Simplify right side
    161.42x = 22,805.23
  5. Step 5: Solve for x
    x = 22,805.23/161.42
  6. Step 6: Final answer
    x = 141.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.