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Finding the Fourth Proportional to 173.96, 261 and 65.84

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Solution

The fourth proportional to 173.96, 261 and 65.84 is: 98.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.96 : 261 = 65.84 : x
  2. Step 2: Convert to fraction form
    173.96/261 = 65.84/x
  3. Step 3: Cross multiply
    173.96x = 261 × 65.84
  4. Step 4: Simplify right side
    173.96x = 17,184.24
  5. Step 5: Solve for x
    x = 17,184.24/173.96
  6. Step 6: Final answer
    x = 98.78

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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.