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Finding the Fourth Proportional to 137.25, 189.50 and 106.25

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Solution

The fourth proportional to 137.25, 189.50 and 106.25 is: 146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 189.50 = 106.25 : x
  2. Step 2: Convert to fraction form
    137.25/189.50 = 106.25/x
  3. Step 3: Cross multiply
    137.25x = 189.50 × 106.25
  4. Step 4: Simplify right side
    137.25x = 20,132.90
  5. Step 5: Solve for x
    x = 20,132.90/137.25
  6. Step 6: Final answer
    x = 146.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.