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Finding the Fourth Proportional to 53.26, 80.34 and 51.13

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Solution

The fourth proportional to 53.26, 80.34 and 51.13 is: 77.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.26 : 80.34 = 51.13 : x
  2. Step 2: Convert to fraction form
    53.26/80.34 = 51.13/x
  3. Step 3: Cross multiply
    53.26x = 80.34 × 51.13
  4. Step 4: Simplify right side
    53.26x = 4,107.98
  5. Step 5: Solve for x
    x = 4,107.98/53.26
  6. Step 6: Final answer
    x = 77.13

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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.