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Finding the Fourth Proportional to 57.86, 79.84 and 34.55

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Solution

The fourth proportional to 57.86, 79.84 and 34.55 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.86 : 79.84 = 34.55 : x
  2. Step 2: Convert to fraction form
    57.86/79.84 = 34.55/x
  3. Step 3: Cross multiply
    57.86x = 79.84 × 34.55
  4. Step 4: Simplify right side
    57.86x = 2,758.47
  5. Step 5: Solve for x
    x = 2,758.47/57.86
  6. Step 6: Final answer
    x = 47.67

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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.