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Finding the Fourth Proportional to 104.84, 157.11 and 49.98

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Solution

The fourth proportional to 104.84, 157.11 and 49.98 is: 74.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.84 : 157.11 = 49.98 : x
  2. Step 2: Convert to fraction form
    104.84/157.11 = 49.98/x
  3. Step 3: Cross multiply
    104.84x = 157.11 × 49.98
  4. Step 4: Simplify right side
    104.84x = 7,853.01
  5. Step 5: Solve for x
    x = 7,853.01/104.84
  6. Step 6: Final answer
    x = 74.91

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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.