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Finding the Fourth Proportional to 53.89, 80.39 and 52.07

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Solution

The fourth proportional to 53.89, 80.39 and 52.07 is: 77.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.89 : 80.39 = 52.07 : x
  2. Step 2: Convert to fraction form
    53.89/80.39 = 52.07/x
  3. Step 3: Cross multiply
    53.89x = 80.39 × 52.07
  4. Step 4: Simplify right side
    53.89x = 4,185.91
  5. Step 5: Solve for x
    x = 4,185.91/53.89
  6. Step 6: Final answer
    x = 77.68

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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.