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Finding the Fourth Proportional to 167.10, 230.61 and 97.16

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Solution

The fourth proportional to 167.10, 230.61 and 97.16 is: 134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.10 : 230.61 = 97.16 : x
  2. Step 2: Convert to fraction form
    167.10/230.61 = 97.16/x
  3. Step 3: Cross multiply
    167.10x = 230.61 × 97.16
  4. Step 4: Simplify right side
    167.10x = 22,406.07
  5. Step 5: Solve for x
    x = 22,406.07/167.10
  6. Step 6: Final answer
    x = 134.09

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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.