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Finding the Fourth Proportional to 174.36, 240.58 and 96.73

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Solution

The fourth proportional to 174.36, 240.58 and 96.73 is: 133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.36 : 240.58 = 96.73 : x
  2. Step 2: Convert to fraction form
    174.36/240.58 = 96.73/x
  3. Step 3: Cross multiply
    174.36x = 240.58 × 96.73
  4. Step 4: Simplify right side
    174.36x = 23,271.30
  5. Step 5: Solve for x
    x = 23,271.30/174.36
  6. Step 6: Final answer
    x = 133.47

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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.