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Finding the Fourth Proportional to 53.53, 80.28 and 23.05

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Solution

The fourth proportional to 53.53, 80.28 and 23.05 is: 34.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.53 : 80.28 = 23.05 : x
  2. Step 2: Convert to fraction form
    53.53/80.28 = 23.05/x
  3. Step 3: Cross multiply
    53.53x = 80.28 × 23.05
  4. Step 4: Simplify right side
    53.53x = 1,850.45
  5. Step 5: Solve for x
    x = 1,850.45/53.53
  6. Step 6: Final answer
    x = 34.57

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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.