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Finding the Fourth Proportional to 105.85, 146.08 and 59.22

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Solution

The fourth proportional to 105.85, 146.08 and 59.22 is: 81.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.85 : 146.08 = 59.22 : x
  2. Step 2: Convert to fraction form
    105.85/146.08 = 59.22/x
  3. Step 3: Cross multiply
    105.85x = 146.08 × 59.22
  4. Step 4: Simplify right side
    105.85x = 8,650.71
  5. Step 5: Solve for x
    x = 8,650.71/105.85
  6. Step 6: Final answer
    x = 81.73

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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.