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Finding the Fourth Proportional to 137.56, 189.33 and 134

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Solution

The fourth proportional to 137.56, 189.33 and 134 is: 184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.56 : 189.33 = 134 : x
  2. Step 2: Convert to fraction form
    137.56/189.33 = 134/x
  3. Step 3: Cross multiply
    137.56x = 189.33 × 134
  4. Step 4: Simplify right side
    137.56x = 25,370.22
  5. Step 5: Solve for x
    x = 25,370.22/137.56
  6. Step 6: Final answer
    x = 184.43

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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.