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Finding the Fourth Proportional to 167.47, 231.07 and 101.05

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Solution

The fourth proportional to 167.47, 231.07 and 101.05 is: 139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.47 : 231.07 = 101.05 : x
  2. Step 2: Convert to fraction form
    167.47/231.07 = 101.05/x
  3. Step 3: Cross multiply
    167.47x = 231.07 × 101.05
  4. Step 4: Simplify right side
    167.47x = 23,349.62
  5. Step 5: Solve for x
    x = 23,349.62/167.47
  6. Step 6: Final answer
    x = 139.43

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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.