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Finding the Fourth Proportional to 120.01, 180.09 and 65.83

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Solution

The fourth proportional to 120.01, 180.09 and 65.83 is: 98.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.01 : 180.09 = 65.83 : x
  2. Step 2: Convert to fraction form
    120.01/180.09 = 65.83/x
  3. Step 3: Cross multiply
    120.01x = 180.09 × 65.83
  4. Step 4: Simplify right side
    120.01x = 11,855.32
  5. Step 5: Solve for x
    x = 11,855.32/120.01
  6. Step 6: Final answer
    x = 98.79

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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.