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Finding the Fourth Proportional to 54.03, 81 and 19.77

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Solution

The fourth proportional to 54.03, 81 and 19.77 is: 29.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.03 : 81 = 19.77 : x
  2. Step 2: Convert to fraction form
    54.03/81 = 19.77/x
  3. Step 3: Cross multiply
    54.03x = 81 × 19.77
  4. Step 4: Simplify right side
    54.03x = 1,601.37
  5. Step 5: Solve for x
    x = 1,601.37/54.03
  6. Step 6: Final answer
    x = 29.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.