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Finding the Fourth Proportional to 137.58, 205.02 and 132.42

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Solution

The fourth proportional to 137.58, 205.02 and 132.42 is: 197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.58 : 205.02 = 132.42 : x
  2. Step 2: Convert to fraction form
    137.58/205.02 = 132.42/x
  3. Step 3: Cross multiply
    137.58x = 205.02 × 132.42
  4. Step 4: Simplify right side
    137.58x = 27,148.75
  5. Step 5: Solve for x
    x = 27,148.75/137.58
  6. Step 6: Final answer
    x = 197.33

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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.