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Finding the Fourth Proportional to 74.75, 112.07 and 51.93

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Solution

The fourth proportional to 74.75, 112.07 and 51.93 is: 77.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 112.07 = 51.93 : x
  2. Step 2: Convert to fraction form
    74.75/112.07 = 51.93/x
  3. Step 3: Cross multiply
    74.75x = 112.07 × 51.93
  4. Step 4: Simplify right side
    74.75x = 5,819.54
  5. Step 5: Solve for x
    x = 5,819.54/74.75
  6. Step 6: Final answer
    x = 77.86

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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.