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Finding the Fourth Proportional to 138.59, 191.21 and 83.34

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Solution

The fourth proportional to 138.59, 191.21 and 83.34 is: 114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.59 : 191.21 = 83.34 : x
  2. Step 2: Convert to fraction form
    138.59/191.21 = 83.34/x
  3. Step 3: Cross multiply
    138.59x = 191.21 × 83.34
  4. Step 4: Simplify right side
    138.59x = 15,935.02
  5. Step 5: Solve for x
    x = 15,935.02/138.59
  6. Step 6: Final answer
    x = 114.98

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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.