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Finding the Fourth Proportional to 100.12, 138.20 and 84.66

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Solution

The fourth proportional to 100.12, 138.20 and 84.66 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.12 : 138.20 = 84.66 : x
  2. Step 2: Convert to fraction form
    100.12/138.20 = 84.66/x
  3. Step 3: Cross multiply
    100.12x = 138.20 × 84.66
  4. Step 4: Simplify right side
    100.12x = 11,700.45
  5. Step 5: Solve for x
    x = 11,700.45/100.12
  6. Step 6: Final answer
    x = 116.86

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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.