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Finding the Fourth Proportional to 167.99, 231.89 and 112.71

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Solution

The fourth proportional to 167.99, 231.89 and 112.71 is: 155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.99 : 231.89 = 112.71 : x
  2. Step 2: Convert to fraction form
    167.99/231.89 = 112.71/x
  3. Step 3: Cross multiply
    167.99x = 231.89 × 112.71
  4. Step 4: Simplify right side
    167.99x = 26,136.32
  5. Step 5: Solve for x
    x = 26,136.32/167.99
  6. Step 6: Final answer
    x = 155.58

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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.