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Finding the Fourth Proportional to 53.44, 80.52 and 51.20

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Solution

The fourth proportional to 53.44, 80.52 and 51.20 is: 77.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.44 : 80.52 = 51.20 : x
  2. Step 2: Convert to fraction form
    53.44/80.52 = 51.20/x
  3. Step 3: Cross multiply
    53.44x = 80.52 × 51.20
  4. Step 4: Simplify right side
    53.44x = 4,122.62
  5. Step 5: Solve for x
    x = 4,122.62/53.44
  6. Step 6: Final answer
    x = 77.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.