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Finding the Fourth Proportional to 53.22, 80.30 and 51.78

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Solution

The fourth proportional to 53.22, 80.30 and 51.78 is: 78.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.22 : 80.30 = 51.78 : x
  2. Step 2: Convert to fraction form
    53.22/80.30 = 51.78/x
  3. Step 3: Cross multiply
    53.22x = 80.30 × 51.78
  4. Step 4: Simplify right side
    53.22x = 4,157.93
  5. Step 5: Solve for x
    x = 4,157.93/53.22
  6. Step 6: Final answer
    x = 78.13

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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.