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Finding the Fourth Proportional to 57.41, 79.02 and 42.62

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Solution

The fourth proportional to 57.41, 79.02 and 42.62 is: 58.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.41 : 79.02 = 42.62 : x
  2. Step 2: Convert to fraction form
    57.41/79.02 = 42.62/x
  3. Step 3: Cross multiply
    57.41x = 79.02 × 42.62
  4. Step 4: Simplify right side
    57.41x = 3,367.83
  5. Step 5: Solve for x
    x = 3,367.83/57.41
  6. Step 6: Final answer
    x = 58.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.