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Finding the Fourth Proportional to 167.45, 230.95 and 101.89

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Solution

The fourth proportional to 167.45, 230.95 and 101.89 is: 140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.45 : 230.95 = 101.89 : x
  2. Step 2: Convert to fraction form
    167.45/230.95 = 101.89/x
  3. Step 3: Cross multiply
    167.45x = 230.95 × 101.89
  4. Step 4: Simplify right side
    167.45x = 23,531.50
  5. Step 5: Solve for x
    x = 23,531.50/167.45
  6. Step 6: Final answer
    x = 140.53

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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.