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Finding the Fourth Proportional to 137.34, 188.97 and 113.76

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Solution

The fourth proportional to 137.34, 188.97 and 113.76 is: 156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 188.97 = 113.76 : x
  2. Step 2: Convert to fraction form
    137.34/188.97 = 113.76/x
  3. Step 3: Cross multiply
    137.34x = 188.97 × 113.76
  4. Step 4: Simplify right side
    137.34x = 21,497.23
  5. Step 5: Solve for x
    x = 21,497.23/137.34
  6. Step 6: Final answer
    x = 156.53

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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.