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Finding the Fourth Proportional to 154.98, 213.73 and 105.93

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Solution

The fourth proportional to 154.98, 213.73 and 105.93 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 213.73 = 105.93 : x
  2. Step 2: Convert to fraction form
    154.98/213.73 = 105.93/x
  3. Step 3: Cross multiply
    154.98x = 213.73 × 105.93
  4. Step 4: Simplify right side
    154.98x = 22,640.15
  5. Step 5: Solve for x
    x = 22,640.15/154.98
  6. Step 6: Final answer
    x = 146.08

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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.