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Finding the Fourth Proportional to 100.46, 138.32 and 85.68

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Solution

The fourth proportional to 100.46, 138.32 and 85.68 is: 117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 138.32 = 85.68 : x
  2. Step 2: Convert to fraction form
    100.46/138.32 = 85.68/x
  3. Step 3: Cross multiply
    100.46x = 138.32 × 85.68
  4. Step 4: Simplify right side
    100.46x = 11,850.57
  5. Step 5: Solve for x
    x = 11,850.57/100.46
  6. Step 6: Final answer
    x = 117.97

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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.