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Finding the Fourth Proportional to 271.24, 407.02 and 109.06

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Solution

The fourth proportional to 271.24, 407.02 and 109.06 is: 163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.24 : 407.02 = 109.06 : x
  2. Step 2: Convert to fraction form
    271.24/407.02 = 109.06/x
  3. Step 3: Cross multiply
    271.24x = 407.02 × 109.06
  4. Step 4: Simplify right side
    271.24x = 44,389.60
  5. Step 5: Solve for x
    x = 44,389.60/271.24
  6. Step 6: Final answer
    x = 163.65

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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.