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Finding the Fourth Proportional to 174.44, 240.72 and 96.81

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Solution

The fourth proportional to 174.44, 240.72 and 96.81 is: 133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.44 : 240.72 = 96.81 : x
  2. Step 2: Convert to fraction form
    174.44/240.72 = 96.81/x
  3. Step 3: Cross multiply
    174.44x = 240.72 × 96.81
  4. Step 4: Simplify right side
    174.44x = 23,304.10
  5. Step 5: Solve for x
    x = 23,304.10/174.44
  6. Step 6: Final answer
    x = 133.59

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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.