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Finding the Fourth Proportional to 216.14, 324.03 and 77.27

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Solution

The fourth proportional to 216.14, 324.03 and 77.27 is: 115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.14 : 324.03 = 77.27 : x
  2. Step 2: Convert to fraction form
    216.14/324.03 = 77.27/x
  3. Step 3: Cross multiply
    216.14x = 324.03 × 77.27
  4. Step 4: Simplify right side
    216.14x = 25,036.18
  5. Step 5: Solve for x
    x = 25,036.18/216.14
  6. Step 6: Final answer
    x = 115.84

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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.