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Finding the Fourth Proportional to 167.68, 251.48 and 52.10

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Solution

The fourth proportional to 167.68, 251.48 and 52.10 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.68 : 251.48 = 52.10 : x
  2. Step 2: Convert to fraction form
    167.68/251.48 = 52.10/x
  3. Step 3: Cross multiply
    167.68x = 251.48 × 52.10
  4. Step 4: Simplify right side
    167.68x = 13,101.92
  5. Step 5: Solve for x
    x = 13,101.92/167.68
  6. Step 6: Final answer
    x = 78.14

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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.