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Finding the Fourth Proportional to 174.31, 240.56 and 96.69

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Solution

The fourth proportional to 174.31, 240.56 and 96.69 is: 133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.31 : 240.56 = 96.69 : x
  2. Step 2: Convert to fraction form
    174.31/240.56 = 96.69/x
  3. Step 3: Cross multiply
    174.31x = 240.56 × 96.69
  4. Step 4: Simplify right side
    174.31x = 23,259.75
  5. Step 5: Solve for x
    x = 23,259.75/174.31
  6. Step 6: Final answer
    x = 133.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.