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Finding the Fourth Proportional to 180.65, 270.95 and 72.45

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Solution

The fourth proportional to 180.65, 270.95 and 72.45 is: 108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 270.95 = 72.45 : x
  2. Step 2: Convert to fraction form
    180.65/270.95 = 72.45/x
  3. Step 3: Cross multiply
    180.65x = 270.95 × 72.45
  4. Step 4: Simplify right side
    180.65x = 19,630.51
  5. Step 5: Solve for x
    x = 19,630.51/180.65
  6. Step 6: Final answer
    x = 108.66

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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.