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Finding the Fourth Proportional to 76.94, 115.38 and 31.26

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Solution

The fourth proportional to 76.94, 115.38 and 31.26 is: 46.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.94 : 115.38 = 31.26 : x
  2. Step 2: Convert to fraction form
    76.94/115.38 = 31.26/x
  3. Step 3: Cross multiply
    76.94x = 115.38 × 31.26
  4. Step 4: Simplify right side
    76.94x = 3,606.78
  5. Step 5: Solve for x
    x = 3,606.78/76.94
  6. Step 6: Final answer
    x = 46.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.