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Finding the Fourth Proportional to 173.89, 260.81 and 52.16

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Solution

The fourth proportional to 173.89, 260.81 and 52.16 is: 78.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.89 : 260.81 = 52.16 : x
  2. Step 2: Convert to fraction form
    173.89/260.81 = 52.16/x
  3. Step 3: Cross multiply
    173.89x = 260.81 × 52.16
  4. Step 4: Simplify right side
    173.89x = 13,603.59
  5. Step 5: Solve for x
    x = 13,603.59/173.89
  6. Step 6: Final answer
    x = 78.23

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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.