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Finding the Fourth Proportional to 132.78, 199.07 and 50.49

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Solution

The fourth proportional to 132.78, 199.07 and 50.49 is: 75.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.78 : 199.07 = 50.49 : x
  2. Step 2: Convert to fraction form
    132.78/199.07 = 50.49/x
  3. Step 3: Cross multiply
    132.78x = 199.07 × 50.49
  4. Step 4: Simplify right side
    132.78x = 10,050.79
  5. Step 5: Solve for x
    x = 10,050.79/132.78
  6. Step 6: Final answer
    x = 75.70

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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.