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Finding the Fourth Proportional to 137.81, 190.08 and 82.50

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Solution

The fourth proportional to 137.81, 190.08 and 82.50 is: 113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.81 : 190.08 = 82.50 : x
  2. Step 2: Convert to fraction form
    137.81/190.08 = 82.50/x
  3. Step 3: Cross multiply
    137.81x = 190.08 × 82.50
  4. Step 4: Simplify right side
    137.81x = 15,681.60
  5. Step 5: Solve for x
    x = 15,681.60/137.81
  6. Step 6: Final answer
    x = 113.80

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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.