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Finding the Fourth Proportional to 105.07, 144.95 and 78.80

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Solution

The fourth proportional to 105.07, 144.95 and 78.80 is: 108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.07 : 144.95 = 78.80 : x
  2. Step 2: Convert to fraction form
    105.07/144.95 = 78.80/x
  3. Step 3: Cross multiply
    105.07x = 144.95 × 78.80
  4. Step 4: Simplify right side
    105.07x = 11,422.06
  5. Step 5: Solve for x
    x = 11,422.06/105.07
  6. Step 6: Final answer
    x = 108.71

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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.