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Finding the Fourth Proportional to 104.69, 144.07 and 77.02

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Solution

The fourth proportional to 104.69, 144.07 and 77.02 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.69 : 144.07 = 77.02 : x
  2. Step 2: Convert to fraction form
    104.69/144.07 = 77.02/x
  3. Step 3: Cross multiply
    104.69x = 144.07 × 77.02
  4. Step 4: Simplify right side
    104.69x = 11,096.27
  5. Step 5: Solve for x
    x = 11,096.27/104.69
  6. Step 6: Final answer
    x = 105.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.