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Finding the Fourth Proportional to 105.60, 146.46 and 103.44

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Solution

The fourth proportional to 105.60, 146.46 and 103.44 is: 143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.60 : 146.46 = 103.44 : x
  2. Step 2: Convert to fraction form
    105.60/146.46 = 103.44/x
  3. Step 3: Cross multiply
    105.60x = 146.46 × 103.44
  4. Step 4: Simplify right side
    105.60x = 15,149.82
  5. Step 5: Solve for x
    x = 15,149.82/105.60
  6. Step 6: Final answer
    x = 143.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.