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Finding the Fourth Proportional to 57.76, 86.42 and 51.68

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Solution

The fourth proportional to 57.76, 86.42 and 51.68 is: 77.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.76 : 86.42 = 51.68 : x
  2. Step 2: Convert to fraction form
    57.76/86.42 = 51.68/x
  3. Step 3: Cross multiply
    57.76x = 86.42 × 51.68
  4. Step 4: Simplify right side
    57.76x = 4,466.19
  5. Step 5: Solve for x
    x = 4,466.19/57.76
  6. Step 6: Final answer
    x = 77.32

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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.