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Finding the Fourth Proportional to 175.28, 241.72 and 120.03

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Solution

The fourth proportional to 175.28, 241.72 and 120.03 is: 165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.28 : 241.72 = 120.03 : x
  2. Step 2: Convert to fraction form
    175.28/241.72 = 120.03/x
  3. Step 3: Cross multiply
    175.28x = 241.72 × 120.03
  4. Step 4: Simplify right side
    175.28x = 29,013.65
  5. Step 5: Solve for x
    x = 29,013.65/175.28
  6. Step 6: Final answer
    x = 165.53

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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.