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Finding the Fourth Proportional to 192.53, 288.54 and 82.71

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Solution

The fourth proportional to 192.53, 288.54 and 82.71 is: 123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.53 : 288.54 = 82.71 : x
  2. Step 2: Convert to fraction form
    192.53/288.54 = 82.71/x
  3. Step 3: Cross multiply
    192.53x = 288.54 × 82.71
  4. Step 4: Simplify right side
    192.53x = 23,865.14
  5. Step 5: Solve for x
    x = 23,865.14/192.53
  6. Step 6: Final answer
    x = 123.96

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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.