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Finding the Fourth Proportional to 120.42, 180.37 and 106.75

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Solution

The fourth proportional to 120.42, 180.37 and 106.75 is: 159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 180.37 = 106.75 : x
  2. Step 2: Convert to fraction form
    120.42/180.37 = 106.75/x
  3. Step 3: Cross multiply
    120.42x = 180.37 × 106.75
  4. Step 4: Simplify right side
    120.42x = 19,253.96
  5. Step 5: Solve for x
    x = 19,253.96/120.42
  6. Step 6: Final answer
    x = 159.89

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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.