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Finding the Fourth Proportional to 173.49, 260.16 and 51.71

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Solution

The fourth proportional to 173.49, 260.16 and 51.71 is: 77.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.49 : 260.16 = 51.71 : x
  2. Step 2: Convert to fraction form
    173.49/260.16 = 51.71/x
  3. Step 3: Cross multiply
    173.49x = 260.16 × 51.71
  4. Step 4: Simplify right side
    173.49x = 13,452.87
  5. Step 5: Solve for x
    x = 13,452.87/173.49
  6. Step 6: Final answer
    x = 77.54

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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.