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Finding the Fourth Proportional to 104.83, 157.06 and 49.89

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Solution

The fourth proportional to 104.83, 157.06 and 49.89 is: 74.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.83 : 157.06 = 49.89 : x
  2. Step 2: Convert to fraction form
    104.83/157.06 = 49.89/x
  3. Step 3: Cross multiply
    104.83x = 157.06 × 49.89
  4. Step 4: Simplify right side
    104.83x = 7,835.72
  5. Step 5: Solve for x
    x = 7,835.72/104.83
  6. Step 6: Final answer
    x = 74.75

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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.