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Finding the Fourth Proportional to 56.30, 83.84 and 54.27

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Solution

The fourth proportional to 56.30, 83.84 and 54.27 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.30 : 83.84 = 54.27 : x
  2. Step 2: Convert to fraction form
    56.30/83.84 = 54.27/x
  3. Step 3: Cross multiply
    56.30x = 83.84 × 54.27
  4. Step 4: Simplify right side
    56.30x = 4,549.73
  5. Step 5: Solve for x
    x = 4,549.73/56.30
  6. Step 6: Final answer
    x = 80.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.