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Finding the Fourth Proportional to 112.61, 155.37 and 75.77

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Solution

The fourth proportional to 112.61, 155.37 and 75.77 is: 104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.61 : 155.37 = 75.77 : x
  2. Step 2: Convert to fraction form
    112.61/155.37 = 75.77/x
  3. Step 3: Cross multiply
    112.61x = 155.37 × 75.77
  4. Step 4: Simplify right side
    112.61x = 11,772.38
  5. Step 5: Solve for x
    x = 11,772.38/112.61
  6. Step 6: Final answer
    x = 104.54

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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.