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Finding the Fourth Proportional to 55.28, 76.36 and 38.96

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Solution

The fourth proportional to 55.28, 76.36 and 38.96 is: 53.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.28 : 76.36 = 38.96 : x
  2. Step 2: Convert to fraction form
    55.28/76.36 = 38.96/x
  3. Step 3: Cross multiply
    55.28x = 76.36 × 38.96
  4. Step 4: Simplify right side
    55.28x = 2,974.99
  5. Step 5: Solve for x
    x = 2,974.99/55.28
  6. Step 6: Final answer
    x = 53.82

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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.