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Finding the Fourth Proportional to 113.98, 171.04 and 49.84

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Solution

The fourth proportional to 113.98, 171.04 and 49.84 is: 74.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.98 : 171.04 = 49.84 : x
  2. Step 2: Convert to fraction form
    113.98/171.04 = 49.84/x
  3. Step 3: Cross multiply
    113.98x = 171.04 × 49.84
  4. Step 4: Simplify right side
    113.98x = 8,524.63
  5. Step 5: Solve for x
    x = 8,524.63/113.98
  6. Step 6: Final answer
    x = 74.79

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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.