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Finding the Fourth Proportional to 57.54, 85.77 and 51.81

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Solution

The fourth proportional to 57.54, 85.77 and 51.81 is: 77.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.54 : 85.77 = 51.81 : x
  2. Step 2: Convert to fraction form
    57.54/85.77 = 51.81/x
  3. Step 3: Cross multiply
    57.54x = 85.77 × 51.81
  4. Step 4: Simplify right side
    57.54x = 4,443.74
  5. Step 5: Solve for x
    x = 4,443.74/57.54
  6. Step 6: Final answer
    x = 77.23

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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.