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Finding the Fourth Proportional to 137.25, 205.47 and 75.42

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Solution

The fourth proportional to 137.25, 205.47 and 75.42 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 205.47 = 75.42 : x
  2. Step 2: Convert to fraction form
    137.25/205.47 = 75.42/x
  3. Step 3: Cross multiply
    137.25x = 205.47 × 75.42
  4. Step 4: Simplify right side
    137.25x = 15,496.55
  5. Step 5: Solve for x
    x = 15,496.55/137.25
  6. Step 6: Final answer
    x = 112.91

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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.