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Finding the Fourth Proportional to 76.26, 105.95 and 75.55

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Solution

The fourth proportional to 76.26, 105.95 and 75.55 is: 104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.26 : 105.95 = 75.55 : x
  2. Step 2: Convert to fraction form
    76.26/105.95 = 75.55/x
  3. Step 3: Cross multiply
    76.26x = 105.95 × 75.55
  4. Step 4: Simplify right side
    76.26x = 8,004.42
  5. Step 5: Solve for x
    x = 8,004.42/76.26
  6. Step 6: Final answer
    x = 104.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.