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Finding the Fourth Proportional to 144.96, 216.96 and 120.80

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Solution

The fourth proportional to 144.96, 216.96 and 120.80 is: 180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 216.96 = 120.80 : x
  2. Step 2: Convert to fraction form
    144.96/216.96 = 120.80/x
  3. Step 3: Cross multiply
    144.96x = 216.96 × 120.80
  4. Step 4: Simplify right side
    144.96x = 26,208.77
  5. Step 5: Solve for x
    x = 26,208.77/144.96
  6. Step 6: Final answer
    x = 180.80

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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.