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Finding the Fourth Proportional to 53.70, 80.46 and 23.25

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Solution

The fourth proportional to 53.70, 80.46 and 23.25 is: 34.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.70 : 80.46 = 23.25 : x
  2. Step 2: Convert to fraction form
    53.70/80.46 = 23.25/x
  3. Step 3: Cross multiply
    53.70x = 80.46 × 23.25
  4. Step 4: Simplify right side
    53.70x = 1,871.00
  5. Step 5: Solve for x
    x = 1,871.00/53.70
  6. Step 6: Final answer
    x = 34.84

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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.