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Finding the Fourth Proportional to 137.36, 189.48 and 87.56

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Solution

The fourth proportional to 137.36, 189.48 and 87.56 is: 120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.36 : 189.48 = 87.56 : x
  2. Step 2: Convert to fraction form
    137.36/189.48 = 87.56/x
  3. Step 3: Cross multiply
    137.36x = 189.48 × 87.56
  4. Step 4: Simplify right side
    137.36x = 16,590.87
  5. Step 5: Solve for x
    x = 16,590.87/137.36
  6. Step 6: Final answer
    x = 120.78

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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.