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Finding the Fourth Proportional to 167.33, 230.90 and 100.01

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Solution

The fourth proportional to 167.33, 230.90 and 100.01 is: 138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.33 : 230.90 = 100.01 : x
  2. Step 2: Convert to fraction form
    167.33/230.90 = 100.01/x
  3. Step 3: Cross multiply
    167.33x = 230.90 × 100.01
  4. Step 4: Simplify right side
    167.33x = 23,093.14
  5. Step 5: Solve for x
    x = 23,093.14/167.33
  6. Step 6: Final answer
    x = 138.01

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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.