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Finding the Fourth Proportional to 174.41, 261.96 and 106.07

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Solution

The fourth proportional to 174.41, 261.96 and 106.07 is: 159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.41 : 261.96 = 106.07 : x
  2. Step 2: Convert to fraction form
    174.41/261.96 = 106.07/x
  3. Step 3: Cross multiply
    174.41x = 261.96 × 106.07
  4. Step 4: Simplify right side
    174.41x = 27,784.79
  5. Step 5: Solve for x
    x = 27,784.79/174.41
  6. Step 6: Final answer
    x = 159.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.