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Finding the Fourth Proportional to 167.70, 231.42 and 102.18

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Solution

The fourth proportional to 167.70, 231.42 and 102.18 is: 141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.70 : 231.42 = 102.18 : x
  2. Step 2: Convert to fraction form
    167.70/231.42 = 102.18/x
  3. Step 3: Cross multiply
    167.70x = 231.42 × 102.18
  4. Step 4: Simplify right side
    167.70x = 23,646.50
  5. Step 5: Solve for x
    x = 23,646.50/167.70
  6. Step 6: Final answer
    x = 141.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.