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Finding the Fourth Proportional to 321, 481.52 and 115.60

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Solution

The fourth proportional to 321, 481.52 and 115.60 is: 173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 481.52 = 115.60 : x
  2. Step 2: Convert to fraction form
    321/481.52 = 115.60/x
  3. Step 3: Cross multiply
    321x = 481.52 × 115.60
  4. Step 4: Simplify right side
    321x = 55,663.71
  5. Step 5: Solve for x
    x = 55,663.71/321
  6. Step 6: Final answer
    x = 173.41

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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.