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Finding the Fourth Proportional to 131.34, 197.84 and 120.24

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Solution

The fourth proportional to 131.34, 197.84 and 120.24 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.34 : 197.84 = 120.24 : x
  2. Step 2: Convert to fraction form
    131.34/197.84 = 120.24/x
  3. Step 3: Cross multiply
    131.34x = 197.84 × 120.24
  4. Step 4: Simplify right side
    131.34x = 23,787.68
  5. Step 5: Solve for x
    x = 23,787.68/131.34
  6. Step 6: Final answer
    x = 181.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.