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Finding the Fourth Proportional to 167.08, 230.62 and 101.56

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Solution

The fourth proportional to 167.08, 230.62 and 101.56 is: 140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.08 : 230.62 = 101.56 : x
  2. Step 2: Convert to fraction form
    167.08/230.62 = 101.56/x
  3. Step 3: Cross multiply
    167.08x = 230.62 × 101.56
  4. Step 4: Simplify right side
    167.08x = 23,421.77
  5. Step 5: Solve for x
    x = 23,421.77/167.08
  6. Step 6: Final answer
    x = 140.18

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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.