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Finding the Fourth Proportional to 174.76, 241.03 and 109.14

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Solution

The fourth proportional to 174.76, 241.03 and 109.14 is: 150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.76 : 241.03 = 109.14 : x
  2. Step 2: Convert to fraction form
    174.76/241.03 = 109.14/x
  3. Step 3: Cross multiply
    174.76x = 241.03 × 109.14
  4. Step 4: Simplify right side
    174.76x = 26,306.01
  5. Step 5: Solve for x
    x = 26,306.01/174.76
  6. Step 6: Final answer
    x = 150.53

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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.