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Finding the Fourth Proportional to 132.69, 183.07 and 77.42

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Solution

The fourth proportional to 132.69, 183.07 and 77.42 is: 106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.69 : 183.07 = 77.42 : x
  2. Step 2: Convert to fraction form
    132.69/183.07 = 77.42/x
  3. Step 3: Cross multiply
    132.69x = 183.07 × 77.42
  4. Step 4: Simplify right side
    132.69x = 14,172.37
  5. Step 5: Solve for x
    x = 14,172.37/132.69
  6. Step 6: Final answer
    x = 106.81

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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.