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Finding the Fourth Proportional to 119.24, 164.53 and 66.78

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Solution

The fourth proportional to 119.24, 164.53 and 66.78 is: 92.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.24 : 164.53 = 66.78 : x
  2. Step 2: Convert to fraction form
    119.24/164.53 = 66.78/x
  3. Step 3: Cross multiply
    119.24x = 164.53 × 66.78
  4. Step 4: Simplify right side
    119.24x = 10,987.48
  5. Step 5: Solve for x
    x = 10,987.48/119.24
  6. Step 6: Final answer
    x = 92.15

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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.