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Finding the Fourth Proportional to 53.65, 80.38 and 34.33

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Solution

The fourth proportional to 53.65, 80.38 and 34.33 is: 51.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.65 : 80.38 = 34.33 : x
  2. Step 2: Convert to fraction form
    53.65/80.38 = 34.33/x
  3. Step 3: Cross multiply
    53.65x = 80.38 × 34.33
  4. Step 4: Simplify right side
    53.65x = 2,759.45
  5. Step 5: Solve for x
    x = 2,759.45/53.65
  6. Step 6: Final answer
    x = 51.43

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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.