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Finding the Fourth Proportional to 174.54, 261.81 and 78.42

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Solution

The fourth proportional to 174.54, 261.81 and 78.42 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.54 : 261.81 = 78.42 : x
  2. Step 2: Convert to fraction form
    174.54/261.81 = 78.42/x
  3. Step 3: Cross multiply
    174.54x = 261.81 × 78.42
  4. Step 4: Simplify right side
    174.54x = 20,531.14
  5. Step 5: Solve for x
    x = 20,531.14/174.54
  6. Step 6: Final answer
    x = 117.63

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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.