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Finding the Fourth Proportional to 271.52, 407.17 and 109.14

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Solution

The fourth proportional to 271.52, 407.17 and 109.14 is: 163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.52 : 407.17 = 109.14 : x
  2. Step 2: Convert to fraction form
    271.52/407.17 = 109.14/x
  3. Step 3: Cross multiply
    271.52x = 407.17 × 109.14
  4. Step 4: Simplify right side
    271.52x = 44,437.99
  5. Step 5: Solve for x
    x = 44,437.99/271.52
  6. Step 6: Final answer
    x = 163.67

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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.