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Finding the Fourth Proportional to 120.22, 180.42 and 88.18

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Solution

The fourth proportional to 120.22, 180.42 and 88.18 is: 132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 180.42 = 88.18 : x
  2. Step 2: Convert to fraction form
    120.22/180.42 = 88.18/x
  3. Step 3: Cross multiply
    120.22x = 180.42 × 88.18
  4. Step 4: Simplify right side
    120.22x = 15,909.44
  5. Step 5: Solve for x
    x = 15,909.44/120.22
  6. Step 6: Final answer
    x = 132.34

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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.