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Finding the Fourth Proportional to 54.06, 80.55 and 53.40

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Solution

The fourth proportional to 54.06, 80.55 and 53.40 is: 79.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.06 : 80.55 = 53.40 : x
  2. Step 2: Convert to fraction form
    54.06/80.55 = 53.40/x
  3. Step 3: Cross multiply
    54.06x = 80.55 × 53.40
  4. Step 4: Simplify right side
    54.06x = 4,301.37
  5. Step 5: Solve for x
    x = 4,301.37/54.06
  6. Step 6: Final answer
    x = 79.57

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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.