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Finding the Fourth Proportional to 100.15, 138.22 and 75.55

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Solution

The fourth proportional to 100.15, 138.22 and 75.55 is: 104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.15 : 138.22 = 75.55 : x
  2. Step 2: Convert to fraction form
    100.15/138.22 = 75.55/x
  3. Step 3: Cross multiply
    100.15x = 138.22 × 75.55
  4. Step 4: Simplify right side
    100.15x = 10,442.14
  5. Step 5: Solve for x
    x = 10,442.14/100.15
  6. Step 6: Final answer
    x = 104.27

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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.