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Finding the Fourth Proportional to 138.84, 191.57 and 83.57

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Solution

The fourth proportional to 138.84, 191.57 and 83.57 is: 115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.84 : 191.57 = 83.57 : x
  2. Step 2: Convert to fraction form
    138.84/191.57 = 83.57/x
  3. Step 3: Cross multiply
    138.84x = 191.57 × 83.57
  4. Step 4: Simplify right side
    138.84x = 16,009.50
  5. Step 5: Solve for x
    x = 16,009.50/138.84
  6. Step 6: Final answer
    x = 115.31

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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.