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Finding the Fourth Proportional to 173.94, 260.93 and 52.21

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Solution

The fourth proportional to 173.94, 260.93 and 52.21 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.94 : 260.93 = 52.21 : x
  2. Step 2: Convert to fraction form
    173.94/260.93 = 52.21/x
  3. Step 3: Cross multiply
    173.94x = 260.93 × 52.21
  4. Step 4: Simplify right side
    173.94x = 13,623.16
  5. Step 5: Solve for x
    x = 13,623.16/173.94
  6. Step 6: Final answer
    x = 78.32

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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.