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Finding the Fourth Proportional to 180.94, 271.41 and 65.42

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Solution

The fourth proportional to 180.94, 271.41 and 65.42 is: 98.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 271.41 = 65.42 : x
  2. Step 2: Convert to fraction form
    180.94/271.41 = 65.42/x
  3. Step 3: Cross multiply
    180.94x = 271.41 × 65.42
  4. Step 4: Simplify right side
    180.94x = 17,753.96
  5. Step 5: Solve for x
    x = 17,753.96/180.94
  6. Step 6: Final answer
    x = 98.12

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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.