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Finding the Fourth Proportional to 53.97, 80.84 and 35.88

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Solution

The fourth proportional to 53.97, 80.84 and 35.88 is: 53.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.97 : 80.84 = 35.88 : x
  2. Step 2: Convert to fraction form
    53.97/80.84 = 35.88/x
  3. Step 3: Cross multiply
    53.97x = 80.84 × 35.88
  4. Step 4: Simplify right side
    53.97x = 2,900.54
  5. Step 5: Solve for x
    x = 2,900.54/53.97
  6. Step 6: Final answer
    x = 53.74

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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.