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Finding the Fourth Proportional to 174, 240.08 and 108.56

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Solution

The fourth proportional to 174, 240.08 and 108.56 is: 149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 240.08 = 108.56 : x
  2. Step 2: Convert to fraction form
    174/240.08 = 108.56/x
  3. Step 3: Cross multiply
    174x = 240.08 × 108.56
  4. Step 4: Simplify right side
    174x = 26,063.08
  5. Step 5: Solve for x
    x = 26,063.08/174
  6. Step 6: Final answer
    x = 149.79

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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.