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Finding the Fourth Proportional to 138.34, 190.71 and 113.74

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Solution

The fourth proportional to 138.34, 190.71 and 113.74 is: 156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.34 : 190.71 = 113.74 : x
  2. Step 2: Convert to fraction form
    138.34/190.71 = 113.74/x
  3. Step 3: Cross multiply
    138.34x = 190.71 × 113.74
  4. Step 4: Simplify right side
    138.34x = 21,691.36
  5. Step 5: Solve for x
    x = 21,691.36/138.34
  6. Step 6: Final answer
    x = 156.80

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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.