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Finding the Fourth Proportional to 120.72, 180.88 and 82.14

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Solution

The fourth proportional to 120.72, 180.88 and 82.14 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.72 : 180.88 = 82.14 : x
  2. Step 2: Convert to fraction form
    120.72/180.88 = 82.14/x
  3. Step 3: Cross multiply
    120.72x = 180.88 × 82.14
  4. Step 4: Simplify right side
    120.72x = 14,857.07
  5. Step 5: Solve for x
    x = 14,857.07/120.72
  6. Step 6: Final answer
    x = 123.07

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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.