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Finding the Fourth Proportional to 120.34, 165.91 and 100.68

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Solution

The fourth proportional to 120.34, 165.91 and 100.68 is: 138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 165.91 = 100.68 : x
  2. Step 2: Convert to fraction form
    120.34/165.91 = 100.68/x
  3. Step 3: Cross multiply
    120.34x = 165.91 × 100.68
  4. Step 4: Simplify right side
    120.34x = 16,703.82
  5. Step 5: Solve for x
    x = 16,703.82/120.34
  6. Step 6: Final answer
    x = 138.81

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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.