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Finding the Fourth Proportional to 173.99, 261.02 and 52.24

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Solution

The fourth proportional to 173.99, 261.02 and 52.24 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.99 : 261.02 = 52.24 : x
  2. Step 2: Convert to fraction form
    173.99/261.02 = 52.24/x
  3. Step 3: Cross multiply
    173.99x = 261.02 × 52.24
  4. Step 4: Simplify right side
    173.99x = 13,635.68
  5. Step 5: Solve for x
    x = 13,635.68/173.99
  6. Step 6: Final answer
    x = 78.37

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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.