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Finding the Fourth Proportional to 76.25, 105.23 and 41.75

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Solution

The fourth proportional to 76.25, 105.23 and 41.75 is: 57.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.25 : 105.23 = 41.75 : x
  2. Step 2: Convert to fraction form
    76.25/105.23 = 41.75/x
  3. Step 3: Cross multiply
    76.25x = 105.23 × 41.75
  4. Step 4: Simplify right side
    76.25x = 4,393.35
  5. Step 5: Solve for x
    x = 4,393.35/76.25
  6. Step 6: Final answer
    x = 57.62

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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.