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Finding the Fourth Proportional to 132.76, 183.21 and 77.50

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Solution

The fourth proportional to 132.76, 183.21 and 77.50 is: 106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.76 : 183.21 = 77.50 : x
  2. Step 2: Convert to fraction form
    132.76/183.21 = 77.50/x
  3. Step 3: Cross multiply
    132.76x = 183.21 × 77.50
  4. Step 4: Simplify right side
    132.76x = 14,198.78
  5. Step 5: Solve for x
    x = 14,198.78/132.76
  6. Step 6: Final answer
    x = 106.95

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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.