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Finding the Fourth Proportional to 174.09, 240.21 and 104.10

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Solution

The fourth proportional to 174.09, 240.21 and 104.10 is: 143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 240.21 = 104.10 : x
  2. Step 2: Convert to fraction form
    174.09/240.21 = 104.10/x
  3. Step 3: Cross multiply
    174.09x = 240.21 × 104.10
  4. Step 4: Simplify right side
    174.09x = 25,005.86
  5. Step 5: Solve for x
    x = 25,005.86/174.09
  6. Step 6: Final answer
    x = 143.64

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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.