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Finding the Fourth Proportional to 57.41, 85.77 and 42.70

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Solution

The fourth proportional to 57.41, 85.77 and 42.70 is: 63.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.41 : 85.77 = 42.70 : x
  2. Step 2: Convert to fraction form
    57.41/85.77 = 42.70/x
  3. Step 3: Cross multiply
    57.41x = 85.77 × 42.70
  4. Step 4: Simplify right side
    57.41x = 3,662.38
  5. Step 5: Solve for x
    x = 3,662.38/57.41
  6. Step 6: Final answer
    x = 63.79

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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.