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Finding the Fourth Proportional to 167.01, 230.39 and 104.81

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Solution

The fourth proportional to 167.01, 230.39 and 104.81 is: 144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.01 : 230.39 = 104.81 : x
  2. Step 2: Convert to fraction form
    167.01/230.39 = 104.81/x
  3. Step 3: Cross multiply
    167.01x = 230.39 × 104.81
  4. Step 4: Simplify right side
    167.01x = 24,146.02
  5. Step 5: Solve for x
    x = 24,146.02/167.01
  6. Step 6: Final answer
    x = 144.58

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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.