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Finding the Fourth Proportional to 180.74, 270.95 and 71.03

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Solution

The fourth proportional to 180.74, 270.95 and 71.03 is: 106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.74 : 270.95 = 71.03 : x
  2. Step 2: Convert to fraction form
    180.74/270.95 = 71.03/x
  3. Step 3: Cross multiply
    180.74x = 270.95 × 71.03
  4. Step 4: Simplify right side
    180.74x = 19,243.87
  5. Step 5: Solve for x
    x = 19,243.87/180.74
  6. Step 6: Final answer
    x = 106.47

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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.