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Finding the Fourth Proportional to 118.20, 162.15 and 109.02

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Solution

The fourth proportional to 118.20, 162.15 and 109.02 is: 149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.20 : 162.15 = 109.02 : x
  2. Step 2: Convert to fraction form
    118.20/162.15 = 109.02/x
  3. Step 3: Cross multiply
    118.20x = 162.15 × 109.02
  4. Step 4: Simplify right side
    118.20x = 17,677.59
  5. Step 5: Solve for x
    x = 17,677.59/118.20
  6. Step 6: Final answer
    x = 149.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.