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Finding the Fourth Proportional to 132.79, 199.17 and 36.60

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Solution

The fourth proportional to 132.79, 199.17 and 36.60 is: 54.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.79 : 199.17 = 36.60 : x
  2. Step 2: Convert to fraction form
    132.79/199.17 = 36.60/x
  3. Step 3: Cross multiply
    132.79x = 199.17 × 36.60
  4. Step 4: Simplify right side
    132.79x = 7,289.62
  5. Step 5: Solve for x
    x = 7,289.62/132.79
  6. Step 6: Final answer
    x = 54.90

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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.