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Finding the Fourth Proportional to 167.70, 231.40 and 98.70

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Solution

The fourth proportional to 167.70, 231.40 and 98.70 is: 136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.70 : 231.40 = 98.70 : x
  2. Step 2: Convert to fraction form
    167.70/231.40 = 98.70/x
  3. Step 3: Cross multiply
    167.70x = 231.40 × 98.70
  4. Step 4: Simplify right side
    167.70x = 22,839.18
  5. Step 5: Solve for x
    x = 22,839.18/167.70
  6. Step 6: Final answer
    x = 136.19

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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.