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Finding the Fourth Proportional to 120.17, 180.14 and 68.88

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Solution

The fourth proportional to 120.17, 180.14 and 68.88 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.17 : 180.14 = 68.88 : x
  2. Step 2: Convert to fraction form
    120.17/180.14 = 68.88/x
  3. Step 3: Cross multiply
    120.17x = 180.14 × 68.88
  4. Step 4: Simplify right side
    120.17x = 12,408.04
  5. Step 5: Solve for x
    x = 12,408.04/120.17
  6. Step 6: Final answer
    x = 103.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.