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Finding the Fourth Proportional to 180.09, 270.14 and 70.46

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Solution

The fourth proportional to 180.09, 270.14 and 70.46 is: 105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 270.14 = 70.46 : x
  2. Step 2: Convert to fraction form
    180.09/270.14 = 70.46/x
  3. Step 3: Cross multiply
    180.09x = 270.14 × 70.46
  4. Step 4: Simplify right side
    180.09x = 19,034.06
  5. Step 5: Solve for x
    x = 19,034.06/180.09
  6. Step 6: Final answer
    x = 105.69

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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.