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Finding the Fourth Proportional to 174.89, 262.37 and 83.53

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Solution

The fourth proportional to 174.89, 262.37 and 83.53 is: 125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.89 : 262.37 = 83.53 : x
  2. Step 2: Convert to fraction form
    174.89/262.37 = 83.53/x
  3. Step 3: Cross multiply
    174.89x = 262.37 × 83.53
  4. Step 4: Simplify right side
    174.89x = 21,915.77
  5. Step 5: Solve for x
    x = 21,915.77/174.89
  6. Step 6: Final answer
    x = 125.31

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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.