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Finding the Fourth Proportional to 53.93, 80.33 and 51.29

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Solution

The fourth proportional to 53.93, 80.33 and 51.29 is: 76.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.93 : 80.33 = 51.29 : x
  2. Step 2: Convert to fraction form
    53.93/80.33 = 51.29/x
  3. Step 3: Cross multiply
    53.93x = 80.33 × 51.29
  4. Step 4: Simplify right side
    53.93x = 4,119.85
  5. Step 5: Solve for x
    x = 4,119.85/53.93
  6. Step 6: Final answer
    x = 76.40

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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.