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Finding the Fourth Proportional to 55.28, 82.84 and 48.56

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Solution

The fourth proportional to 55.28, 82.84 and 48.56 is: 72.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.28 : 82.84 = 48.56 : x
  2. Step 2: Convert to fraction form
    55.28/82.84 = 48.56/x
  3. Step 3: Cross multiply
    55.28x = 82.84 × 48.56
  4. Step 4: Simplify right side
    55.28x = 4,022.71
  5. Step 5: Solve for x
    x = 4,022.71/55.28
  6. Step 6: Final answer
    x = 72.77

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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.