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Finding the Fourth Proportional to 137.50, 189.70 and 82.25

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Solution

The fourth proportional to 137.50, 189.70 and 82.25 is: 113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 189.70 = 82.25 : x
  2. Step 2: Convert to fraction form
    137.50/189.70 = 82.25/x
  3. Step 3: Cross multiply
    137.50x = 189.70 × 82.25
  4. Step 4: Simplify right side
    137.50x = 15,602.83
  5. Step 5: Solve for x
    x = 15,602.83/137.50
  6. Step 6: Final answer
    x = 113.48

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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.