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Finding the Fourth Proportional to 132.80, 183.26 and 77.55

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Solution

The fourth proportional to 132.80, 183.26 and 77.55 is: 107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.80 : 183.26 = 77.55 : x
  2. Step 2: Convert to fraction form
    132.80/183.26 = 77.55/x
  3. Step 3: Cross multiply
    132.80x = 183.26 × 77.55
  4. Step 4: Simplify right side
    132.80x = 14,211.43
  5. Step 5: Solve for x
    x = 14,211.43/132.80
  6. Step 6: Final answer
    x = 107.02

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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.