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Finding the Fourth Proportional to 180.84, 271.33 and 72.71

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Solution

The fourth proportional to 180.84, 271.33 and 72.71 is: 109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 271.33 = 72.71 : x
  2. Step 2: Convert to fraction form
    180.84/271.33 = 72.71/x
  3. Step 3: Cross multiply
    180.84x = 271.33 × 72.71
  4. Step 4: Simplify right side
    180.84x = 19,727.05
  5. Step 5: Solve for x
    x = 19,727.05/180.84
  6. Step 6: Final answer
    x = 109.09

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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.