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Finding the Fourth Proportional to 445.58, 668.37 and 120.95

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Solution

The fourth proportional to 445.58, 668.37 and 120.95 is: 181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.58 : 668.37 = 120.95 : x
  2. Step 2: Convert to fraction form
    445.58/668.37 = 120.95/x
  3. Step 3: Cross multiply
    445.58x = 668.37 × 120.95
  4. Step 4: Simplify right side
    445.58x = 80,835.40
  5. Step 5: Solve for x
    x = 80,835.40/445.58
  6. Step 6: Final answer
    x = 181.42

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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.