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Finding the Fourth Proportional to 132.96, 200.63 and 127.96

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Solution

The fourth proportional to 132.96, 200.63 and 127.96 is: 193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.96 : 200.63 = 127.96 : x
  2. Step 2: Convert to fraction form
    132.96/200.63 = 127.96/x
  3. Step 3: Cross multiply
    132.96x = 200.63 × 127.96
  4. Step 4: Simplify right side
    132.96x = 25,672.61
  5. Step 5: Solve for x
    x = 25,672.61/132.96
  6. Step 6: Final answer
    x = 193.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.