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Finding the Fourth Proportional to 138.75, 191.45 and 83.50

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Solution

The fourth proportional to 138.75, 191.45 and 83.50 is: 115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 191.45 = 83.50 : x
  2. Step 2: Convert to fraction form
    138.75/191.45 = 83.50/x
  3. Step 3: Cross multiply
    138.75x = 191.45 × 83.50
  4. Step 4: Simplify right side
    138.75x = 15,985.66
  5. Step 5: Solve for x
    x = 15,985.66/138.75
  6. Step 6: Final answer
    x = 115.22

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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.