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Finding the Fourth Proportional to 76.27, 105.25 and 41.77

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Solution

The fourth proportional to 76.27, 105.25 and 41.77 is: 57.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.27 : 105.25 = 41.77 : x
  2. Step 2: Convert to fraction form
    76.27/105.25 = 41.77/x
  3. Step 3: Cross multiply
    76.27x = 105.25 × 41.77
  4. Step 4: Simplify right side
    76.27x = 4,396.29
  5. Step 5: Solve for x
    x = 4,396.29/76.27
  6. Step 6: Final answer
    x = 57.64

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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.