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Finding the Fourth Proportional to 180.65, 270.86 and 72.31

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Solution

The fourth proportional to 180.65, 270.86 and 72.31 is: 108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 270.86 = 72.31 : x
  2. Step 2: Convert to fraction form
    180.65/270.86 = 72.31/x
  3. Step 3: Cross multiply
    180.65x = 270.86 × 72.31
  4. Step 4: Simplify right side
    180.65x = 19,585.89
  5. Step 5: Solve for x
    x = 19,585.89/180.65
  6. Step 6: Final answer
    x = 108.42

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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.