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Finding the Fourth Proportional to 105.86, 146.12 and 67.07

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Solution

The fourth proportional to 105.86, 146.12 and 67.07 is: 92.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 146.12 = 67.07 : x
  2. Step 2: Convert to fraction form
    105.86/146.12 = 67.07/x
  3. Step 3: Cross multiply
    105.86x = 146.12 × 67.07
  4. Step 4: Simplify right side
    105.86x = 9,800.27
  5. Step 5: Solve for x
    x = 9,800.27/105.86
  6. Step 6: Final answer
    x = 92.58

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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.