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Finding the Fourth Proportional to 166.96, 230.43 and 97.01

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Solution

The fourth proportional to 166.96, 230.43 and 97.01 is: 133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 230.43 = 97.01 : x
  2. Step 2: Convert to fraction form
    166.96/230.43 = 97.01/x
  3. Step 3: Cross multiply
    166.96x = 230.43 × 97.01
  4. Step 4: Simplify right side
    166.96x = 22,352.86
  5. Step 5: Solve for x
    x = 22,352.86/166.96
  6. Step 6: Final answer
    x = 133.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.