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Finding the Fourth Proportional to 143.66, 215.26 and 97.94

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Solution

The fourth proportional to 143.66, 215.26 and 97.94 is: 146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.66 : 215.26 = 97.94 : x
  2. Step 2: Convert to fraction form
    143.66/215.26 = 97.94/x
  3. Step 3: Cross multiply
    143.66x = 215.26 × 97.94
  4. Step 4: Simplify right side
    143.66x = 21,082.86
  5. Step 5: Solve for x
    x = 21,082.86/143.66
  6. Step 6: Final answer
    x = 146.75

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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.