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Finding the Fourth Proportional to 271.97, 407.77 and 89.34

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Solution

The fourth proportional to 271.97, 407.77 and 89.34 is: 133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.97 : 407.77 = 89.34 : x
  2. Step 2: Convert to fraction form
    271.97/407.77 = 89.34/x
  3. Step 3: Cross multiply
    271.97x = 407.77 × 89.34
  4. Step 4: Simplify right side
    271.97x = 36,428.42
  5. Step 5: Solve for x
    x = 36,428.42/271.97
  6. Step 6: Final answer
    x = 133.94

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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.