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Finding the Fourth Proportional to 118.12, 177.59 and 109.21

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Solution

The fourth proportional to 118.12, 177.59 and 109.21 is: 164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.12 : 177.59 = 109.21 : x
  2. Step 2: Convert to fraction form
    118.12/177.59 = 109.21/x
  3. Step 3: Cross multiply
    118.12x = 177.59 × 109.21
  4. Step 4: Simplify right side
    118.12x = 19,394.60
  5. Step 5: Solve for x
    x = 19,394.60/118.12
  6. Step 6: Final answer
    x = 164.19

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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.