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Finding the Fourth Proportional to 105.98, 159.02 and 51.84

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Solution

The fourth proportional to 105.98, 159.02 and 51.84 is: 77.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 159.02 = 51.84 : x
  2. Step 2: Convert to fraction form
    105.98/159.02 = 51.84/x
  3. Step 3: Cross multiply
    105.98x = 159.02 × 51.84
  4. Step 4: Simplify right side
    105.98x = 8,244.13
  5. Step 5: Solve for x
    x = 8,244.13/105.98
  6. Step 6: Final answer
    x = 77.79

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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.