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Finding the Fourth Proportional to 118.08, 177.21 and 82.04

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Solution

The fourth proportional to 118.08, 177.21 and 82.04 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.08 : 177.21 = 82.04 : x
  2. Step 2: Convert to fraction form
    118.08/177.21 = 82.04/x
  3. Step 3: Cross multiply
    118.08x = 177.21 × 82.04
  4. Step 4: Simplify right side
    118.08x = 14,537.42
  5. Step 5: Solve for x
    x = 14,537.42/118.08
  6. Step 6: Final answer
    x = 123.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.