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Finding the Fourth Proportional to 119.36, 164.31 and 88.23

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Solution

The fourth proportional to 119.36, 164.31 and 88.23 is: 121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.36 : 164.31 = 88.23 : x
  2. Step 2: Convert to fraction form
    119.36/164.31 = 88.23/x
  3. Step 3: Cross multiply
    119.36x = 164.31 × 88.23
  4. Step 4: Simplify right side
    119.36x = 14,497.07
  5. Step 5: Solve for x
    x = 14,497.07/119.36
  6. Step 6: Final answer
    x = 121.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.