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Finding the Fourth Proportional to 53.77, 80.48 and 34.53

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Solution

The fourth proportional to 53.77, 80.48 and 34.53 is: 51.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.77 : 80.48 = 34.53 : x
  2. Step 2: Convert to fraction form
    53.77/80.48 = 34.53/x
  3. Step 3: Cross multiply
    53.77x = 80.48 × 34.53
  4. Step 4: Simplify right side
    53.77x = 2,778.97
  5. Step 5: Solve for x
    x = 2,778.97/53.77
  6. Step 6: Final answer
    x = 51.68

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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.