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Finding the Fourth Proportional to 138.95, 191.76 and 83.70

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Solution

The fourth proportional to 138.95, 191.76 and 83.70 is: 115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.95 : 191.76 = 83.70 : x
  2. Step 2: Convert to fraction form
    138.95/191.76 = 83.70/x
  3. Step 3: Cross multiply
    138.95x = 191.76 × 83.70
  4. Step 4: Simplify right side
    138.95x = 16,050.31
  5. Step 5: Solve for x
    x = 16,050.31/138.95
  6. Step 6: Final answer
    x = 115.52

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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.