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Finding the Fourth Proportional to 100.75, 138.87 and 86.86

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Solution

The fourth proportional to 100.75, 138.87 and 86.86 is: 119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.75 : 138.87 = 86.86 : x
  2. Step 2: Convert to fraction form
    100.75/138.87 = 86.86/x
  3. Step 3: Cross multiply
    100.75x = 138.87 × 86.86
  4. Step 4: Simplify right side
    100.75x = 12,062.25
  5. Step 5: Solve for x
    x = 12,062.25/100.75
  6. Step 6: Final answer
    x = 119.72

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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.