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Finding the Fourth Proportional to 54.52, 82.29 and 53.28

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Solution

The fourth proportional to 54.52, 82.29 and 53.28 is: 80.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.52 : 82.29 = 53.28 : x
  2. Step 2: Convert to fraction form
    54.52/82.29 = 53.28/x
  3. Step 3: Cross multiply
    54.52x = 82.29 × 53.28
  4. Step 4: Simplify right side
    54.52x = 4,384.41
  5. Step 5: Solve for x
    x = 4,384.41/54.52
  6. Step 6: Final answer
    x = 80.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.