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Finding the Fourth Proportional to 120.34, 180.28 and 93.16

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Solution

The fourth proportional to 120.34, 180.28 and 93.16 is: 139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 180.28 = 93.16 : x
  2. Step 2: Convert to fraction form
    120.34/180.28 = 93.16/x
  3. Step 3: Cross multiply
    120.34x = 180.28 × 93.16
  4. Step 4: Simplify right side
    120.34x = 16,794.88
  5. Step 5: Solve for x
    x = 16,794.88/120.34
  6. Step 6: Final answer
    x = 139.56

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