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Finding the Fourth Proportional to 54.77, 81.46 and 53.15

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Solution

The fourth proportional to 54.77, 81.46 and 53.15 is: 79.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.77 : 81.46 = 53.15 : x
  2. Step 2: Convert to fraction form
    54.77/81.46 = 53.15/x
  3. Step 3: Cross multiply
    54.77x = 81.46 × 53.15
  4. Step 4: Simplify right side
    54.77x = 4,329.60
  5. Step 5: Solve for x
    x = 4,329.60/54.77
  6. Step 6: Final answer
    x = 79.05

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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.