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Finding the Fourth Proportional to 112.62, 155.46 and 75.77

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Solution

The fourth proportional to 112.62, 155.46 and 75.77 is: 104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.62 : 155.46 = 75.77 : x
  2. Step 2: Convert to fraction form
    112.62/155.46 = 75.77/x
  3. Step 3: Cross multiply
    112.62x = 155.46 × 75.77
  4. Step 4: Simplify right side
    112.62x = 11,778.43
  5. Step 5: Solve for x
    x = 11,778.43/112.62
  6. Step 6: Final answer
    x = 104.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.