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Finding the Fourth Proportional to 138.59, 191.27 and 76.43

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Solution

The fourth proportional to 138.59, 191.27 and 76.43 is: 105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.59 : 191.27 = 76.43 : x
  2. Step 2: Convert to fraction form
    138.59/191.27 = 76.43/x
  3. Step 3: Cross multiply
    138.59x = 191.27 × 76.43
  4. Step 4: Simplify right side
    138.59x = 14,617.93
  5. Step 5: Solve for x
    x = 14,617.93/138.59
  6. Step 6: Final answer
    x = 105.48

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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.