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Finding the Fourth Proportional to 53.81, 80.84 and 52.21

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Solution

The fourth proportional to 53.81, 80.84 and 52.21 is: 78.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.81 : 80.84 = 52.21 : x
  2. Step 2: Convert to fraction form
    53.81/80.84 = 52.21/x
  3. Step 3: Cross multiply
    53.81x = 80.84 × 52.21
  4. Step 4: Simplify right side
    53.81x = 4,220.66
  5. Step 5: Solve for x
    x = 4,220.66/53.81
  6. Step 6: Final answer
    x = 78.44

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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.