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Finding the Fourth Proportional to 57.63, 85.83 and 55.83

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Solution

The fourth proportional to 57.63, 85.83 and 55.83 is: 83.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.63 : 85.83 = 55.83 : x
  2. Step 2: Convert to fraction form
    57.63/85.83 = 55.83/x
  3. Step 3: Cross multiply
    57.63x = 85.83 × 55.83
  4. Step 4: Simplify right side
    57.63x = 4,791.89
  5. Step 5: Solve for x
    x = 4,791.89/57.63
  6. Step 6: Final answer
    x = 83.15

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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.