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Finding the Fourth Proportional to 100.38, 138.57 and 75.78

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Solution

The fourth proportional to 100.38, 138.57 and 75.78 is: 104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.38 : 138.57 = 75.78 : x
  2. Step 2: Convert to fraction form
    100.38/138.57 = 75.78/x
  3. Step 3: Cross multiply
    100.38x = 138.57 × 75.78
  4. Step 4: Simplify right side
    100.38x = 10,500.83
  5. Step 5: Solve for x
    x = 10,500.83/100.38
  6. Step 6: Final answer
    x = 104.61

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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.