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Finding the Fourth Proportional to 132.91, 199.61 and 127.15

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Solution

The fourth proportional to 132.91, 199.61 and 127.15 is: 190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.91 : 199.61 = 127.15 : x
  2. Step 2: Convert to fraction form
    132.91/199.61 = 127.15/x
  3. Step 3: Cross multiply
    132.91x = 199.61 × 127.15
  4. Step 4: Simplify right side
    132.91x = 25,380.23
  5. Step 5: Solve for x
    x = 25,380.23/132.91
  6. Step 6: Final answer
    x = 190.96

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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.