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Finding the Fourth Proportional to 104.78, 157.06 and 49.92

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Solution

The fourth proportional to 104.78, 157.06 and 49.92 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.78 : 157.06 = 49.92 : x
  2. Step 2: Convert to fraction form
    104.78/157.06 = 49.92/x
  3. Step 3: Cross multiply
    104.78x = 157.06 × 49.92
  4. Step 4: Simplify right side
    104.78x = 7,840.06
  5. Step 5: Solve for x
    x = 7,840.06/104.78
  6. Step 6: Final answer
    x = 74.83

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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.