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Finding the Fourth Proportional to 105.98, 159.03 and 54.74

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Solution

The fourth proportional to 105.98, 159.03 and 54.74 is: 82.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 159.03 = 54.74 : x
  2. Step 2: Convert to fraction form
    105.98/159.03 = 54.74/x
  3. Step 3: Cross multiply
    105.98x = 159.03 × 54.74
  4. Step 4: Simplify right side
    105.98x = 8,705.70
  5. Step 5: Solve for x
    x = 8,705.70/105.98
  6. Step 6: Final answer
    x = 82.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.