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Finding the Fourth Proportional to 167.81, 251.69 and 65.13

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Solution

The fourth proportional to 167.81, 251.69 and 65.13 is: 97.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.81 : 251.69 = 65.13 : x
  2. Step 2: Convert to fraction form
    167.81/251.69 = 65.13/x
  3. Step 3: Cross multiply
    167.81x = 251.69 × 65.13
  4. Step 4: Simplify right side
    167.81x = 16,392.24
  5. Step 5: Solve for x
    x = 16,392.24/167.81
  6. Step 6: Final answer
    x = 97.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.