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Finding the Fourth Proportional to 137.42, 189.61 and 82.14

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Solution

The fourth proportional to 137.42, 189.61 and 82.14 is: 113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.42 : 189.61 = 82.14 : x
  2. Step 2: Convert to fraction form
    137.42/189.61 = 82.14/x
  3. Step 3: Cross multiply
    137.42x = 189.61 × 82.14
  4. Step 4: Simplify right side
    137.42x = 15,574.57
  5. Step 5: Solve for x
    x = 15,574.57/137.42
  6. Step 6: Final answer
    x = 113.34

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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.