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Finding the Fourth Proportional to 120.42, 180.44 and 71.68

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Solution

The fourth proportional to 120.42, 180.44 and 71.68 is: 107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 180.44 = 71.68 : x
  2. Step 2: Convert to fraction form
    120.42/180.44 = 71.68/x
  3. Step 3: Cross multiply
    120.42x = 180.44 × 71.68
  4. Step 4: Simplify right side
    120.42x = 12,933.94
  5. Step 5: Solve for x
    x = 12,933.94/120.42
  6. Step 6: Final answer
    x = 107.41

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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.