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Finding the Fourth Proportional to 120, 180.27 and 97.32

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Solution

The fourth proportional to 120, 180.27 and 97.32 is: 146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 180.27 = 97.32 : x
  2. Step 2: Convert to fraction form
    120/180.27 = 97.32/x
  3. Step 3: Cross multiply
    120x = 180.27 × 97.32
  4. Step 4: Simplify right side
    120x = 17,543.88
  5. Step 5: Solve for x
    x = 17,543.88/120
  6. Step 6: Final answer
    x = 146.20

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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.