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Finding the Fourth Proportional to 118.99, 177.44 and 110.17

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Solution

The fourth proportional to 118.99, 177.44 and 110.17 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.99 : 177.44 = 110.17 : x
  2. Step 2: Convert to fraction form
    118.99/177.44 = 110.17/x
  3. Step 3: Cross multiply
    118.99x = 177.44 × 110.17
  4. Step 4: Simplify right side
    118.99x = 19,548.56
  5. Step 5: Solve for x
    x = 19,548.56/118.99
  6. Step 6: Final answer
    x = 164.29

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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.