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Finding the Fourth Proportional to 53.56, 80.25 and 30.75

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Solution

The fourth proportional to 53.56, 80.25 and 30.75 is: 46.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.56 : 80.25 = 30.75 : x
  2. Step 2: Convert to fraction form
    53.56/80.25 = 30.75/x
  3. Step 3: Cross multiply
    53.56x = 80.25 × 30.75
  4. Step 4: Simplify right side
    53.56x = 2,467.69
  5. Step 5: Solve for x
    x = 2,467.69/53.56
  6. Step 6: Final answer
    x = 46.07

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