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Finding the Fourth Proportional to 118.44, 177.71 and 72.81

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Solution

The fourth proportional to 118.44, 177.71 and 72.81 is: 109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.44 : 177.71 = 72.81 : x
  2. Step 2: Convert to fraction form
    118.44/177.71 = 72.81/x
  3. Step 3: Cross multiply
    118.44x = 177.71 × 72.81
  4. Step 4: Simplify right side
    118.44x = 12,938.70
  5. Step 5: Solve for x
    x = 12,938.70/118.44
  6. Step 6: Final answer
    x = 109.24

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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.