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Finding the Fourth Proportional to 120.21, 164.97 and 113.34

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Solution

The fourth proportional to 120.21, 164.97 and 113.34 is: 155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.21 : 164.97 = 113.34 : x
  2. Step 2: Convert to fraction form
    120.21/164.97 = 113.34/x
  3. Step 3: Cross multiply
    120.21x = 164.97 × 113.34
  4. Step 4: Simplify right side
    120.21x = 18,697.70
  5. Step 5: Solve for x
    x = 18,697.70/120.21
  6. Step 6: Final answer
    x = 155.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.