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Finding the Fourth Proportional to 216.37, 324.61 and 106.72

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Solution

The fourth proportional to 216.37, 324.61 and 106.72 is: 160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.37 : 324.61 = 106.72 : x
  2. Step 2: Convert to fraction form
    216.37/324.61 = 106.72/x
  3. Step 3: Cross multiply
    216.37x = 324.61 × 106.72
  4. Step 4: Simplify right side
    216.37x = 34,642.38
  5. Step 5: Solve for x
    x = 34,642.38/216.37
  6. Step 6: Final answer
    x = 160.11

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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.