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Finding the Fourth Proportional to 135.57, 201.89 and 132.38

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Solution

The fourth proportional to 135.57, 201.89 and 132.38 is: 197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.57 : 201.89 = 132.38 : x
  2. Step 2: Convert to fraction form
    135.57/201.89 = 132.38/x
  3. Step 3: Cross multiply
    135.57x = 201.89 × 132.38
  4. Step 4: Simplify right side
    135.57x = 26,727.41
  5. Step 5: Solve for x
    x = 26,727.41/135.57
  6. Step 6: Final answer
    x = 197.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.