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Finding the Fourth Proportional to 100.14, 138.42 and 75.65

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Solution

The fourth proportional to 100.14, 138.42 and 75.65 is: 104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 138.42 = 75.65 : x
  2. Step 2: Convert to fraction form
    100.14/138.42 = 75.65/x
  3. Step 3: Cross multiply
    100.14x = 138.42 × 75.65
  4. Step 4: Simplify right side
    100.14x = 10,470.78
  5. Step 5: Solve for x
    x = 10,470.78/100.14
  6. Step 6: Final answer
    x = 104.56

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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.