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Finding the Fourth Proportional to 54.97, 82.34 and 26.04

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Solution

The fourth proportional to 54.97, 82.34 and 26.04 is: 39.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.97 : 82.34 = 26.04 : x
  2. Step 2: Convert to fraction form
    54.97/82.34 = 26.04/x
  3. Step 3: Cross multiply
    54.97x = 82.34 × 26.04
  4. Step 4: Simplify right side
    54.97x = 2,143.86
  5. Step 5: Solve for x
    x = 2,143.86/54.97
  6. Step 6: Final answer
    x = 39.00

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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.