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Finding the Fourth Proportional to 76.26, 105.22 and 56.88

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Solution

The fourth proportional to 76.26, 105.22 and 56.88 is: 78.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.26 : 105.22 = 56.88 : x
  2. Step 2: Convert to fraction form
    76.26/105.22 = 56.88/x
  3. Step 3: Cross multiply
    76.26x = 105.22 × 56.88
  4. Step 4: Simplify right side
    76.26x = 5,984.91
  5. Step 5: Solve for x
    x = 5,984.91/76.26
  6. Step 6: Final answer
    x = 78.48

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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.