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Finding the Fourth Proportional to 76.26, 105.28 and 56.82

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Solution

The fourth proportional to 76.26, 105.28 and 56.82 is: 78.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.26 : 105.28 = 56.82 : x
  2. Step 2: Convert to fraction form
    76.26/105.28 = 56.82/x
  3. Step 3: Cross multiply
    76.26x = 105.28 × 56.82
  4. Step 4: Simplify right side
    76.26x = 5,982.01
  5. Step 5: Solve for x
    x = 5,982.01/76.26
  6. Step 6: Final answer
    x = 78.44

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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.