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Finding the Fourth Proportional to 120.21, 180.38 and 97.65

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Solution

The fourth proportional to 120.21, 180.38 and 97.65 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.21 : 180.38 = 97.65 : x
  2. Step 2: Convert to fraction form
    120.21/180.38 = 97.65/x
  3. Step 3: Cross multiply
    120.21x = 180.38 × 97.65
  4. Step 4: Simplify right side
    120.21x = 17,613.62
  5. Step 5: Solve for x
    x = 17,613.62/120.21
  6. Step 6: Final answer
    x = 146.52

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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.