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Finding the Fourth Proportional to 271.53, 407.24 and 88.92

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Solution

The fourth proportional to 271.53, 407.24 and 88.92 is: 133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.53 : 407.24 = 88.92 : x
  2. Step 2: Convert to fraction form
    271.53/407.24 = 88.92/x
  3. Step 3: Cross multiply
    271.53x = 407.24 × 88.92
  4. Step 4: Simplify right side
    271.53x = 36,211.34
  5. Step 5: Solve for x
    x = 36,211.34/271.53
  6. Step 6: Final answer
    x = 133.36

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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.