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Finding the Fourth Proportional to 100.37, 138.58 and 75.95

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Solution

The fourth proportional to 100.37, 138.58 and 75.95 is: 104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.37 : 138.58 = 75.95 : x
  2. Step 2: Convert to fraction form
    100.37/138.58 = 75.95/x
  3. Step 3: Cross multiply
    100.37x = 138.58 × 75.95
  4. Step 4: Simplify right side
    100.37x = 10,524.65
  5. Step 5: Solve for x
    x = 10,524.65/100.37
  6. Step 6: Final answer
    x = 104.86

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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.