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Finding the Fourth Proportional to 120.30, 180.42 and 82.06

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Solution

The fourth proportional to 120.30, 180.42 and 82.06 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.30 : 180.42 = 82.06 : x
  2. Step 2: Convert to fraction form
    120.30/180.42 = 82.06/x
  3. Step 3: Cross multiply
    120.30x = 180.42 × 82.06
  4. Step 4: Simplify right side
    120.30x = 14,805.27
  5. Step 5: Solve for x
    x = 14,805.27/120.30
  6. Step 6: Final answer
    x = 123.07

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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.