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Finding the Fourth Proportional to 100.23, 138.34 and 67.49

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Solution

The fourth proportional to 100.23, 138.34 and 67.49 is: 93.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.23 : 138.34 = 67.49 : x
  2. Step 2: Convert to fraction form
    100.23/138.34 = 67.49/x
  3. Step 3: Cross multiply
    100.23x = 138.34 × 67.49
  4. Step 4: Simplify right side
    100.23x = 9,336.57
  5. Step 5: Solve for x
    x = 9,336.57/100.23
  6. Step 6: Final answer
    x = 93.15

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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.