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Finding the Fourth Proportional to 271.74, 407.52 and 89.10

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Solution

The fourth proportional to 271.74, 407.52 and 89.10 is: 133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.74 : 407.52 = 89.10 : x
  2. Step 2: Convert to fraction form
    271.74/407.52 = 89.10/x
  3. Step 3: Cross multiply
    271.74x = 407.52 × 89.10
  4. Step 4: Simplify right side
    271.74x = 36,310.03
  5. Step 5: Solve for x
    x = 36,310.03/271.74
  6. Step 6: Final answer
    x = 133.62

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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.