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Finding the Fourth Proportional to 167.66, 251.47 and 71.46

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Solution

The fourth proportional to 167.66, 251.47 and 71.46 is: 107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.66 : 251.47 = 71.46 : x
  2. Step 2: Convert to fraction form
    167.66/251.47 = 71.46/x
  3. Step 3: Cross multiply
    167.66x = 251.47 × 71.46
  4. Step 4: Simplify right side
    167.66x = 17,970.05
  5. Step 5: Solve for x
    x = 17,970.05/167.66
  6. Step 6: Final answer
    x = 107.18

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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.