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Finding the Fourth Proportional to 120.41, 180.66 and 43.43

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Solution

The fourth proportional to 120.41, 180.66 and 43.43 is: 65.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.41 : 180.66 = 43.43 : x
  2. Step 2: Convert to fraction form
    120.41/180.66 = 43.43/x
  3. Step 3: Cross multiply
    120.41x = 180.66 × 43.43
  4. Step 4: Simplify right side
    120.41x = 7,846.06
  5. Step 5: Solve for x
    x = 7,846.06/120.41
  6. Step 6: Final answer
    x = 65.16

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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.