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Finding the Fourth Proportional to 144.96, 217.76 and 113.28

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Solution

The fourth proportional to 144.96, 217.76 and 113.28 is: 170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 217.76 = 113.28 : x
  2. Step 2: Convert to fraction form
    144.96/217.76 = 113.28/x
  3. Step 3: Cross multiply
    144.96x = 217.76 × 113.28
  4. Step 4: Simplify right side
    144.96x = 24,667.85
  5. Step 5: Solve for x
    x = 24,667.85/144.96
  6. Step 6: Final answer
    x = 170.17

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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.