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Finding the Fourth Proportional to 118.71, 177.19 and 110.26

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Solution

The fourth proportional to 118.71, 177.19 and 110.26 is: 164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.71 : 177.19 = 110.26 : x
  2. Step 2: Convert to fraction form
    118.71/177.19 = 110.26/x
  3. Step 3: Cross multiply
    118.71x = 177.19 × 110.26
  4. Step 4: Simplify right side
    118.71x = 19,536.97
  5. Step 5: Solve for x
    x = 19,536.97/118.71
  6. Step 6: Final answer
    x = 164.58

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