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Finding the Fourth Proportional to 137.50, 189.75 and 82.24

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Solution

The fourth proportional to 137.50, 189.75 and 82.24 is: 113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 189.75 = 82.24 : x
  2. Step 2: Convert to fraction form
    137.50/189.75 = 82.24/x
  3. Step 3: Cross multiply
    137.50x = 189.75 × 82.24
  4. Step 4: Simplify right side
    137.50x = 15,605.04
  5. Step 5: Solve for x
    x = 15,605.04/137.50
  6. Step 6: Final answer
    x = 113.49

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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.