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Finding the Fourth Proportional to 130.62, 196.91 and 120.18

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Solution

The fourth proportional to 130.62, 196.91 and 120.18 is: 181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.62 : 196.91 = 120.18 : x
  2. Step 2: Convert to fraction form
    130.62/196.91 = 120.18/x
  3. Step 3: Cross multiply
    130.62x = 196.91 × 120.18
  4. Step 4: Simplify right side
    130.62x = 23,664.04
  5. Step 5: Solve for x
    x = 23,664.04/130.62
  6. Step 6: Final answer
    x = 181.17

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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.