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Finding the Fourth Proportional to 167.36, 231 and 101.90

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Solution

The fourth proportional to 167.36, 231 and 101.90 is: 140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.36 : 231 = 101.90 : x
  2. Step 2: Convert to fraction form
    167.36/231 = 101.90/x
  3. Step 3: Cross multiply
    167.36x = 231 × 101.90
  4. Step 4: Simplify right side
    167.36x = 23,538.90
  5. Step 5: Solve for x
    x = 23,538.90/167.36
  6. Step 6: Final answer
    x = 140.65

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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.