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Finding the Fourth Proportional to 173.65, 260.48 and 51.92

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Solution

The fourth proportional to 173.65, 260.48 and 51.92 is: 77.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.65 : 260.48 = 51.92 : x
  2. Step 2: Convert to fraction form
    173.65/260.48 = 51.92/x
  3. Step 3: Cross multiply
    173.65x = 260.48 × 51.92
  4. Step 4: Simplify right side
    173.65x = 13,522.75
  5. Step 5: Solve for x
    x = 13,522.75/173.65
  6. Step 6: Final answer
    x = 77.87

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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.