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Finding the Fourth Proportional to 161.02, 222.23 and 102.05

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Solution

The fourth proportional to 161.02, 222.23 and 102.05 is: 140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.02 : 222.23 = 102.05 : x
  2. Step 2: Convert to fraction form
    161.02/222.23 = 102.05/x
  3. Step 3: Cross multiply
    161.02x = 222.23 × 102.05
  4. Step 4: Simplify right side
    161.02x = 22,678.06
  5. Step 5: Solve for x
    x = 22,678.06/161.02
  6. Step 6: Final answer
    x = 140.84

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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.