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Finding the Fourth Proportional to 174.64, 241.01 and 100.97

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Solution

The fourth proportional to 174.64, 241.01 and 100.97 is: 139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.64 : 241.01 = 100.97 : x
  2. Step 2: Convert to fraction form
    174.64/241.01 = 100.97/x
  3. Step 3: Cross multiply
    174.64x = 241.01 × 100.97
  4. Step 4: Simplify right side
    174.64x = 24,334.78
  5. Step 5: Solve for x
    x = 24,334.78/174.64
  6. Step 6: Final answer
    x = 139.34

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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.