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Finding the Fourth Proportional to 118.18, 177.27 and 102.52

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Solution

The fourth proportional to 118.18, 177.27 and 102.52 is: 153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.18 : 177.27 = 102.52 : x
  2. Step 2: Convert to fraction form
    118.18/177.27 = 102.52/x
  3. Step 3: Cross multiply
    118.18x = 177.27 × 102.52
  4. Step 4: Simplify right side
    118.18x = 18,173.72
  5. Step 5: Solve for x
    x = 18,173.72/118.18
  6. Step 6: Final answer
    x = 153.78

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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.