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Finding the Fourth Proportional to 100.29, 138.46 and 81.91

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Solution

The fourth proportional to 100.29, 138.46 and 81.91 is: 113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.29 : 138.46 = 81.91 : x
  2. Step 2: Convert to fraction form
    100.29/138.46 = 81.91/x
  3. Step 3: Cross multiply
    100.29x = 138.46 × 81.91
  4. Step 4: Simplify right side
    100.29x = 11,341.86
  5. Step 5: Solve for x
    x = 11,341.86/100.29
  6. Step 6: Final answer
    x = 113.09

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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.