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Finding the Fourth Proportional to 161.60, 222.75 and 120.02

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Solution

The fourth proportional to 161.60, 222.75 and 120.02 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.60 : 222.75 = 120.02 : x
  2. Step 2: Convert to fraction form
    161.60/222.75 = 120.02/x
  3. Step 3: Cross multiply
    161.60x = 222.75 × 120.02
  4. Step 4: Simplify right side
    161.60x = 26,733.34
  5. Step 5: Solve for x
    x = 26,733.34/161.60
  6. Step 6: Final answer
    x = 165.43

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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.