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Finding the Fourth Proportional to 57.68, 86.34 and 43.20

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Solution

The fourth proportional to 57.68, 86.34 and 43.20 is: 64.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.68 : 86.34 = 43.20 : x
  2. Step 2: Convert to fraction form
    57.68/86.34 = 43.20/x
  3. Step 3: Cross multiply
    57.68x = 86.34 × 43.20
  4. Step 4: Simplify right side
    57.68x = 3,729.89
  5. Step 5: Solve for x
    x = 3,729.89/57.68
  6. Step 6: Final answer
    x = 64.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.