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Finding the Fourth Proportional to 118.83, 177.27 and 109.71

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Solution

The fourth proportional to 118.83, 177.27 and 109.71 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.83 : 177.27 = 109.71 : x
  2. Step 2: Convert to fraction form
    118.83/177.27 = 109.71/x
  3. Step 3: Cross multiply
    118.83x = 177.27 × 109.71
  4. Step 4: Simplify right side
    118.83x = 19,448.29
  5. Step 5: Solve for x
    x = 19,448.29/118.83
  6. Step 6: Final answer
    x = 163.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.