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Finding the Fourth Proportional to 271.69, 407.61 and 89.10

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Solution

The fourth proportional to 271.69, 407.61 and 89.10 is: 133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.69 : 407.61 = 89.10 : x
  2. Step 2: Convert to fraction form
    271.69/407.61 = 89.10/x
  3. Step 3: Cross multiply
    271.69x = 407.61 × 89.10
  4. Step 4: Simplify right side
    271.69x = 36,318.05
  5. Step 5: Solve for x
    x = 36,318.05/271.69
  6. Step 6: Final answer
    x = 133.67

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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.