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Finding the Fourth Proportional to 53.75, 80.11 and 51.49

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Solution

The fourth proportional to 53.75, 80.11 and 51.49 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.75 : 80.11 = 51.49 : x
  2. Step 2: Convert to fraction form
    53.75/80.11 = 51.49/x
  3. Step 3: Cross multiply
    53.75x = 80.11 × 51.49
  4. Step 4: Simplify right side
    53.75x = 4,124.86
  5. Step 5: Solve for x
    x = 4,124.86/53.75
  6. Step 6: Final answer
    x = 76.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.