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Finding the Fourth Proportional to 120.69, 180.72 and 79.98

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Solution

The fourth proportional to 120.69, 180.72 and 79.98 is: 119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.69 : 180.72 = 79.98 : x
  2. Step 2: Convert to fraction form
    120.69/180.72 = 79.98/x
  3. Step 3: Cross multiply
    120.69x = 180.72 × 79.98
  4. Step 4: Simplify right side
    120.69x = 14,453.99
  5. Step 5: Solve for x
    x = 14,453.99/120.69
  6. Step 6: Final answer
    x = 119.77

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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.