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Finding the Fourth Proportional to 216.71, 325.08 and 72.44

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Solution

The fourth proportional to 216.71, 325.08 and 72.44 is: 108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.71 : 325.08 = 72.44 : x
  2. Step 2: Convert to fraction form
    216.71/325.08 = 72.44/x
  3. Step 3: Cross multiply
    216.71x = 325.08 × 72.44
  4. Step 4: Simplify right side
    216.71x = 23,548.80
  5. Step 5: Solve for x
    x = 23,548.80/216.71
  6. Step 6: Final answer
    x = 108.67

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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.