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Finding the Fourth Proportional to 137.30, 189.46 and 82.01

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Solution

The fourth proportional to 137.30, 189.46 and 82.01 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.30 : 189.46 = 82.01 : x
  2. Step 2: Convert to fraction form
    137.30/189.46 = 82.01/x
  3. Step 3: Cross multiply
    137.30x = 189.46 × 82.01
  4. Step 4: Simplify right side
    137.30x = 15,536.46
  5. Step 5: Solve for x
    x = 15,536.46/137.30
  6. Step 6: Final answer
    x = 113.16

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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.