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Finding the Fourth Proportional to 271.62, 407.42 and 89.00

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Solution

The fourth proportional to 271.62, 407.42 and 89.00 is: 133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.62 : 407.42 = 89.00 : x
  2. Step 2: Convert to fraction form
    271.62/407.42 = 89.00/x
  3. Step 3: Cross multiply
    271.62x = 407.42 × 89.00
  4. Step 4: Simplify right side
    271.62x = 36,257.90
  5. Step 5: Solve for x
    x = 36,257.90/271.62
  6. Step 6: Final answer
    x = 133.49

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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.