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Finding the Fourth Proportional to 130.75, 196.89 and 96.75

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Solution

The fourth proportional to 130.75, 196.89 and 96.75 is: 145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.75 : 196.89 = 96.75 : x
  2. Step 2: Convert to fraction form
    130.75/196.89 = 96.75/x
  3. Step 3: Cross multiply
    130.75x = 196.89 × 96.75
  4. Step 4: Simplify right side
    130.75x = 19,049.30
  5. Step 5: Solve for x
    x = 19,049.30/130.75
  6. Step 6: Final answer
    x = 145.69

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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.