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Finding the Fourth Proportional to 118.42, 177.27 and 110.93

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Solution

The fourth proportional to 118.42, 177.27 and 110.93 is: 166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.42 : 177.27 = 110.93 : x
  2. Step 2: Convert to fraction form
    118.42/177.27 = 110.93/x
  3. Step 3: Cross multiply
    118.42x = 177.27 × 110.93
  4. Step 4: Simplify right side
    118.42x = 19,664.56
  5. Step 5: Solve for x
    x = 19,664.56/118.42
  6. Step 6: Final answer
    x = 166.06

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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.