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Finding the Fourth Proportional to 137.55, 189.83 and 82.29

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Solution

The fourth proportional to 137.55, 189.83 and 82.29 is: 113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.55 : 189.83 = 82.29 : x
  2. Step 2: Convert to fraction form
    137.55/189.83 = 82.29/x
  3. Step 3: Cross multiply
    137.55x = 189.83 × 82.29
  4. Step 4: Simplify right side
    137.55x = 15,621.11
  5. Step 5: Solve for x
    x = 15,621.11/137.55
  6. Step 6: Final answer
    x = 113.57

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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.