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Finding the Fourth Proportional to 132.94, 199.43 and 51.77

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Solution

The fourth proportional to 132.94, 199.43 and 51.77 is: 77.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.94 : 199.43 = 51.77 : x
  2. Step 2: Convert to fraction form
    132.94/199.43 = 51.77/x
  3. Step 3: Cross multiply
    132.94x = 199.43 × 51.77
  4. Step 4: Simplify right side
    132.94x = 10,324.92
  5. Step 5: Solve for x
    x = 10,324.92/132.94
  6. Step 6: Final answer
    x = 77.67

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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.