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Finding the Fourth Proportional to 167.13, 230.47 and 111.77

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Solution

The fourth proportional to 167.13, 230.47 and 111.77 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.13 : 230.47 = 111.77 : x
  2. Step 2: Convert to fraction form
    167.13/230.47 = 111.77/x
  3. Step 3: Cross multiply
    167.13x = 230.47 × 111.77
  4. Step 4: Simplify right side
    167.13x = 25,759.63
  5. Step 5: Solve for x
    x = 25,759.63/167.13
  6. Step 6: Final answer
    x = 154.13

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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.