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Finding the Fourth Proportional to 119.22, 164.48 and 97.48

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Solution

The fourth proportional to 119.22, 164.48 and 97.48 is: 134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.22 : 164.48 = 97.48 : x
  2. Step 2: Convert to fraction form
    119.22/164.48 = 97.48/x
  3. Step 3: Cross multiply
    119.22x = 164.48 × 97.48
  4. Step 4: Simplify right side
    119.22x = 16,033.51
  5. Step 5: Solve for x
    x = 16,033.51/119.22
  6. Step 6: Final answer
    x = 134.49

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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.