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Finding the Fourth Proportional to 132.65, 183.07 and 77.41

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Solution

The fourth proportional to 132.65, 183.07 and 77.41 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.65 : 183.07 = 77.41 : x
  2. Step 2: Convert to fraction form
    132.65/183.07 = 77.41/x
  3. Step 3: Cross multiply
    132.65x = 183.07 × 77.41
  4. Step 4: Simplify right side
    132.65x = 14,170.53
  5. Step 5: Solve for x
    x = 14,170.53/132.65
  6. Step 6: Final answer
    x = 106.83

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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.