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Finding the Fourth Proportional to 57.57, 79.81 and 55.68

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Solution

The fourth proportional to 57.57, 79.81 and 55.68 is: 77.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.57 : 79.81 = 55.68 : x
  2. Step 2: Convert to fraction form
    57.57/79.81 = 55.68/x
  3. Step 3: Cross multiply
    57.57x = 79.81 × 55.68
  4. Step 4: Simplify right side
    57.57x = 4,443.82
  5. Step 5: Solve for x
    x = 4,443.82/57.57
  6. Step 6: Final answer
    x = 77.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.