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Finding the Fourth Proportional to 167.84, 231.50 and 121.13

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Solution

The fourth proportional to 167.84, 231.50 and 121.13 is: 167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 231.50 = 121.13 : x
  2. Step 2: Convert to fraction form
    167.84/231.50 = 121.13/x
  3. Step 3: Cross multiply
    167.84x = 231.50 × 121.13
  4. Step 4: Simplify right side
    167.84x = 28,041.60
  5. Step 5: Solve for x
    x = 28,041.60/167.84
  6. Step 6: Final answer
    x = 167.08

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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.