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Finding the Fourth Proportional to 105.88, 146.10 and 78.22

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Solution

The fourth proportional to 105.88, 146.10 and 78.22 is: 107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.88 : 146.10 = 78.22 : x
  2. Step 2: Convert to fraction form
    105.88/146.10 = 78.22/x
  3. Step 3: Cross multiply
    105.88x = 146.10 × 78.22
  4. Step 4: Simplify right side
    105.88x = 11,427.94
  5. Step 5: Solve for x
    x = 11,427.94/105.88
  6. Step 6: Final answer
    x = 107.93

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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.