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Finding the Fourth Proportional to 174.80, 241.20 and 101.11

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Solution

The fourth proportional to 174.80, 241.20 and 101.11 is: 139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.80 : 241.20 = 101.11 : x
  2. Step 2: Convert to fraction form
    174.80/241.20 = 101.11/x
  3. Step 3: Cross multiply
    174.80x = 241.20 × 101.11
  4. Step 4: Simplify right side
    174.80x = 24,387.73
  5. Step 5: Solve for x
    x = 24,387.73/174.80
  6. Step 6: Final answer
    x = 139.52

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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.