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Finding the Fourth Proportional to 100.13, 138.17 and 67.43

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Solution

The fourth proportional to 100.13, 138.17 and 67.43 is: 93.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.13 : 138.17 = 67.43 : x
  2. Step 2: Convert to fraction form
    100.13/138.17 = 67.43/x
  3. Step 3: Cross multiply
    100.13x = 138.17 × 67.43
  4. Step 4: Simplify right side
    100.13x = 9,315.78
  5. Step 5: Solve for x
    x = 9,315.78/100.13
  6. Step 6: Final answer
    x = 93.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.