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Finding the Fourth Proportional to 105.41, 145.23 and 77.75

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Solution

The fourth proportional to 105.41, 145.23 and 77.75 is: 107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.41 : 145.23 = 77.75 : x
  2. Step 2: Convert to fraction form
    105.41/145.23 = 77.75/x
  3. Step 3: Cross multiply
    105.41x = 145.23 × 77.75
  4. Step 4: Simplify right side
    105.41x = 11,290.91
  5. Step 5: Solve for x
    x = 11,290.91/105.41
  6. Step 6: Final answer
    x = 107.12

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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.