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Finding the Fourth Proportional to 120.22, 180.34 and 43.18

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Solution

The fourth proportional to 120.22, 180.34 and 43.18 is: 64.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 180.34 = 43.18 : x
  2. Step 2: Convert to fraction form
    120.22/180.34 = 43.18/x
  3. Step 3: Cross multiply
    120.22x = 180.34 × 43.18
  4. Step 4: Simplify right side
    120.22x = 7,787.08
  5. Step 5: Solve for x
    x = 7,787.08/120.22
  6. Step 6: Final answer
    x = 64.77

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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.