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Finding the Fourth Proportional to 216.71, 325.32 and 113.96

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Solution

The fourth proportional to 216.71, 325.32 and 113.96 is: 171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.71 : 325.32 = 113.96 : x
  2. Step 2: Convert to fraction form
    216.71/325.32 = 113.96/x
  3. Step 3: Cross multiply
    216.71x = 325.32 × 113.96
  4. Step 4: Simplify right side
    216.71x = 37,074.08
  5. Step 5: Solve for x
    x = 37,074.08/216.71
  6. Step 6: Final answer
    x = 171.08

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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.