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Finding the Fourth Proportional to 167.49, 251.24 and 51.93

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Solution

The fourth proportional to 167.49, 251.24 and 51.93 is: 77.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.49 : 251.24 = 51.93 : x
  2. Step 2: Convert to fraction form
    167.49/251.24 = 51.93/x
  3. Step 3: Cross multiply
    167.49x = 251.24 × 51.93
  4. Step 4: Simplify right side
    167.49x = 13,047.78
  5. Step 5: Solve for x
    x = 13,047.78/167.49
  6. Step 6: Final answer
    x = 77.90

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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.